88044681684480 has 640 divisors, whose sum is σ = 291993031249920. Its totient is φ = 22608472965120.

The previous prime is 88044681684397. The next prime is 88044681684521. The reversal of 88044681684480 is 8448618644088.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×88044681684480³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61699145527 + ... + 61699146953.

It is an arithmetic number, because the mean of its divisors is an integer number (456239111328).

Almost surely, 2^{88044681684480} is an apocalyptic number.

88044681684480 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 88044681684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145996515624960).

88044681684480 is an abundant number, since it is smaller than the sum of its proper divisors (203948349565440).

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

88044681684480 is a wasteful number, since it uses less digits than its factorization.

88044681684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 301989888, while the sum is 69.

The spelling of 88044681684480 in words is "eighty-eight trillion, forty-four billion, six hundred eighty-one million, six hundred eighty-four thousand, four hundred eighty".