89957020608 has 448 divisors, whose sum is σ = 342627712000. Its totient is φ = 22475501568.

The previous prime is 89957020591. The next prime is 89957020639. The reversal of 89957020608 is 80602075998.

It is a happy number.

89957020608 is a `hidden beast` number, since 8 + 9 + 9 + 5 + 7 + 0 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2972658 + ... + 3002766.

It is an arithmetic number, because the mean of its divisors is an integer number (764794000).

Almost surely, 2^89957020608 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 89957020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171313856000).

89957020608 is an abundant number, since it is smaller than the sum of its proper divisors (252670691392).

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

89957020608 is a wasteful number, since it uses less digits than its factorization.

89957020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169 (or 30153 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89957020608 in words is "eighty-nine billion, nine hundred fifty-seven million, twenty thousand, six hundred eight".