88259521698432 has 3072 divisors, whose sum is σ = 348873935155200. Its totient is φ = 21604000333824.

The previous prime is 88259521698401. The next prime is 88259521698461. The reversal of 88259521698432 is 23489612595288.

It is a happy number.

88259521698432 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 9 + 521 + 6 + 98 + 4 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 278421203938 + ... + 278421204254.

It is an arithmetic number, because the mean of its divisors is an integer number (113565734100).

Almost surely, 2^{88259521698432} 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 88259521698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174436967577600).

88259521698432 is an abundant number, since it is smaller than the sum of its proper divisors (260614413456768).

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

88259521698432 is a wasteful number, since it uses less digits than its factorization.

88259521698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 88259521698432 in words is "eighty-eight trillion, two hundred fifty-nine billion, five hundred twenty-one million, six hundred ninety-eight thousand, four hundred thirty-two".