88045802678880 has 288 divisors, whose sum is σ = 309230116715520. Its totient is φ = 22802848220160.

The previous prime is 88045802678857. The next prime is 88045802678929. The reversal of 88045802678880 is 8887620854088.

88045802678880 is a `hidden beast` number, since 8 + 8 + 0 + 458 + 0 + 26 + 78 + 8 + 80 = 666.

88045802678880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88045802678799 and 88045802678808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808785 + ... + 13294575.

It is an arithmetic number, because the mean of its divisors is an integer number (1073715683040).

Almost surely, 2^{88045802678880} is an apocalyptic number.

88045802678880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88045802678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154615058357760).

88045802678880 is an abundant number, since it is smaller than the sum of its proper divisors (221184314036640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88045802678880 is a wasteful number, since it uses less digits than its factorization.

88045802678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485954 (or 12485943 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 72.

The spelling of 88045802678880 in words is "eighty-eight trillion, forty-five billion, eight hundred two million, six hundred seventy-eight thousand, eight hundred eighty".