89625940992 has 352 divisors, whose sum is σ = 321202794240. Its totient is φ = 24100208640.

The previous prime is 89625940961. The next prime is 89625940993. The reversal of 89625940992 is 29904952698.

89625940992 is a `hidden beast` number, since 8 + 96 + 2 + 59 + 409 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89625940993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276492 + ... + 3303732.

Almost surely, 2^89625940992 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 89625940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160601397120).

89625940992 is an abundant number, since it is smaller than the sum of its proper divisors (231576853248).

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

89625940992 is a wasteful number, since it uses less digits than its factorization.

89625940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27294 (or 27270 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 89625940992 in words is "eighty-nine billion, six hundred twenty-five million, nine hundred forty thousand, nine hundred ninety-two".