89402527872 has 640 divisors, whose sum is σ = 318482841600. Its totient is φ = 24358164480.

The previous prime is 89402527853. The next prime is 89402527909. The reversal of 89402527872 is 27872520498.

89402527872 is a `hidden beast` number, since 8 + 9 + 40 + 2 + 527 + 8 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177738373 + ... + 177738875.

It is an arithmetic number, because the mean of its divisors is an integer number (497629440).

Almost surely, 2^89402527872 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 89402527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159241420800).

89402527872 is an abundant number, since it is smaller than the sum of its proper divisors (229080313728).

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

89402527872 is a wasteful number, since it uses less digits than its factorization.

89402527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 89402527872 in words is "eighty-nine billion, four hundred two million, five hundred twenty-seven thousand, eight hundred seventy-two".