88916296400640 has 216 divisors, whose sum is σ = 307707624631680. Its totient is φ = 23705886892032.

The previous prime is 88916296400621. The next prime is 88916296400681. The reversal of 88916296400640 is 4600469261988.

88916296400640 is a `hidden beast` number, since 8 + 8 + 9 + 162 + 9 + 6 + 400 + 64 + 0 = 666.

It is a super-2 number, since 2×88916296400640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52609374 + ... + 54273186.

Almost surely, 2^{88916296400640} is an apocalyptic number.

88916296400640 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 88916296400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153853812315840).

88916296400640 is an abundant number, since it is smaller than the sum of its proper divisors (218791328231040).

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

88916296400640 is a wasteful number, since it uses less digits than its factorization.

88916296400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668479 (or 1668462 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 88916296400640 in words is "eighty-eight trillion, nine hundred sixteen billion, two hundred ninety-six million, four hundred thousand, six hundred forty".