89618957432928 has 2160 divisors, whose sum is σ = 354450784010400. Its totient is φ = 21736380948480.

The previous prime is 89618957432857. The next prime is 89618957432989. The reversal of 89618957432928 is 82923475981698.

89618957432928 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 8 + 9 + 574 + 32 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 57856007898 + ... + 57856009446.

It is an arithmetic number, because the mean of its divisors is an integer number (164097585190).

Almost surely, 2^{89618957432928} is an apocalyptic number.

89618957432928 is a gapful number since it is divisible by the number (88) 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 89618957432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177225392005200).

89618957432928 is an abundant number, since it is smaller than the sum of its proper divisors (264831826577472).

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

89618957432928 is a wasteful number, since it uses less digits than its factorization.

89618957432928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1664 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 89618957432928 in words is "eighty-nine trillion, six hundred eighteen billion, nine hundred fifty-seven million, four hundred thirty-two thousand, nine hundred twenty-eight".