89437525632 has 1152 divisors, whose sum is σ = 344768486400. Its totient is φ = 21737963520.

The previous prime is 89437525627. The next prime is 89437525649. The reversal of 89437525632 is 23652573498.

89437525632 is a `hidden beast` number, since 8 + 9 + 4 + 3 + 75 + 2 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1225171548 + ... + 1225171620.

It is an arithmetic number, because the mean of its divisors is an integer number (299278200).

Almost surely, 2^89437525632 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 89437525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172384243200).

89437525632 is an abundant number, since it is smaller than the sum of its proper divisors (255330960768).

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

89437525632 is a wasteful number, since it uses less digits than its factorization.

89437525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 89437525632 in words is "eighty-nine billion, four hundred thirty-seven million, five hundred twenty-five thousand, six hundred thirty-two".