89259575904 has 144 divisors (see below), whose sum is σ = 267818503680. Its totient is φ = 28121091840.

The previous prime is 89259575903. The next prime is 89259575987. The reversal of 89259575904 is 40957595298.

89259575904 is a `hidden beast` number, since 8 + 9 + 2 + 59 + 575 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89259575903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2339509 + ... + 2377355.

It is an arithmetic number, because the mean of its divisors is an integer number (1859850720).

Almost surely, 2^89259575904 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 89259575904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133909251840).

89259575904 is an abundant number, since it is smaller than the sum of its proper divisors (178558927776).

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

89259575904 is a wasteful number, since it uses less digits than its factorization.

89259575904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38313 (or 38302 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 89259575904 in words is "eighty-nine billion, two hundred fifty-nine million, five hundred seventy-five thousand, nine hundred four".