88808808800880 has 960 divisors, whose sum is σ = 360930590392320. Its totient is φ = 19130791680000.

The previous prime is 88808808800843. The next prime is 88808808800969. The reversal of 88808808800880 is 8800880880888.

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 = 88808808800799 and 88808808800808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4496411005 + ... + 4496430755.

It is an arithmetic number, because the mean of its divisors is an integer number (375969364992).

Almost surely, 2^{88808808800880} is an apocalyptic number.

88808808800880 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 88808808800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180465295196160).

88808808800880 is an abundant number, since it is smaller than the sum of its proper divisors (272121781591440).

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

88808808800880 is a wasteful number, since it uses less digits than its factorization.

88808808800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 134217728, while the sum is 72.

The spelling of 88808808800880 in words is "eighty-eight trillion, eight hundred eight billion, eight hundred eight million, eight hundred thousand, eight hundred eighty".