89104460574528 has 672 divisors, whose sum is σ = 322219958860800. Its totient is φ = 24036242227200.

The previous prime is 89104460574511. The next prime is 89104460574583. The reversal of 89104460574528 is 82547506440198.

It is a happy number.

89104460574528 is a `hidden beast` number, since 8 + 9 + 1 + 0 + 4 + 4 + 6 + 0 + 574 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×89104460574528² (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 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, 107204128 + ... + 108032096.

It is an arithmetic number, because the mean of its divisors is an integer number (479493986400).

Almost surely, 2^{89104460574528} 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 89104460574528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161109979430400).

89104460574528 is an abundant number, since it is smaller than the sum of its proper divisors (233115498286272).

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

89104460574528 is a wasteful number, since it uses less digits than its factorization.

89104460574528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828076 (or 828053 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 89104460574528 in words is "eighty-nine trillion, one hundred four billion, four hundred sixty million, five hundred seventy-four thousand, five hundred twenty-eight".