89464725504 has 1120 divisors, whose sum is σ = 356250825216. Its totient is φ = 21658337280.

The previous prime is 89464725499. The next prime is 89464725523. The reversal of 89464725504 is 40552746498.

89464725504 is a `hidden beast` number, since 8 + 9 + 4 + 64 + 72 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 868589517 + ... + 868589619.

Almost surely, 2^89464725504 is an apocalyptic number.

89464725504 is a gapful number since it is divisible by the number (84) 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 89464725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125412608).

89464725504 is an abundant number, since it is smaller than the sum of its proper divisors (266786099712).

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

89464725504 is a wasteful number, since it uses less digits than its factorization.

89464725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 89464725504 in words is "eighty-nine billion, four hundred sixty-four million, seven hundred twenty-five thousand, five hundred four".