89930279052432 has 800 divisors, whose sum is σ = 325812262347264. Its totient is φ = 23313965875200.

The previous prime is 89930279052413. The next prime is 89930279052451. The reversal of 89930279052432 is 23425097203998.

89930279052432 is a `hidden beast` number, since 8 + 9 + 9 + 3 + 0 + 2 + 79 + 0 + 524 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (89930279052413) and next prime (89930279052451).

It is a super-2 number, since 2×89930279052432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 89930279052432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14970910773 + ... + 14970916779.

Almost surely, 2^{89930279052432} 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 89930279052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162906131173632).

89930279052432 is an abundant number, since it is smaller than the sum of its proper divisors (235881983294832).

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

89930279052432 is a wasteful number, since it uses less digits than its factorization.

89930279052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 89930279052432 in words is "eighty-nine trillion, nine hundred thirty billion, two hundred seventy-nine million, fifty-two thousand, four hundred thirty-two".