88098518840832 has 960 divisors, whose sum is σ = 281761607102976. Its totient is φ = 27418817986560.

The previous prime is 88098518840741. The next prime is 88098518840867. The reversal of 88098518840832 is 23804881589088.

88098518840832 is a `hidden beast` number, since 8 + 8 + 0 + 9 + 8 + 5 + 188 + 408 + 32 = 666.

It is a super-2 number, since 2×88098518840832² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32000913568 + ... + 32000916320.

Almost surely, 2^{88098518840832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88098518840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140880803551488).

88098518840832 is an abundant number, since it is smaller than the sum of its proper divisors (193663088262144).

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

88098518840832 is a wasteful number, since it uses less digits than its factorization.

88098518840832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 72.

The spelling of 88098518840832 in words is "eighty-eight trillion, ninety-eight billion, five hundred eighteen million, eight hundred forty thousand, eight hundred thirty-two".