89925015624 has 256 divisors, whose sum is σ = 249059059200. Its totient is φ = 26972774400.

The previous prime is 89925015577. The next prime is 89925015641. The reversal of 89925015624 is 42651052998.

It is a Cunningham number, because it is equal to 299875²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73168642 + ... + 73169870.

It is an arithmetic number, because the mean of its divisors is an integer number (972886950).

Almost surely, 2^89925015624 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 89925015624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124529529600).

89925015624 is an abundant number, since it is smaller than the sum of its proper divisors (159134043576).

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

89925015624 is a wasteful number, since it uses less digits than its factorization.

89925015624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 89925015624 in words is "eighty-nine billion, nine hundred twenty-five million, fifteen thousand, six hundred twenty-four".