89561590272 has 480 divisors, whose sum is σ = 333072432000. Its totient is φ = 23259709440.

The previous prime is 89561590249. The next prime is 89561590291. The reversal of 89561590272 is 27209516598.

89561590272 is a `hidden beast` number, since 8 + 9 + 561 + 5 + 9 + 0 + 2 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11705104 + ... + 11712752.

It is an arithmetic number, because the mean of its divisors is an integer number (693900900).

Almost surely, 2^89561590272 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 89561590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166536216000).

89561590272 is an abundant number, since it is smaller than the sum of its proper divisors (243510841728).

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

89561590272 is a wasteful number, since it uses less digits than its factorization.

89561590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 89561590272 in words is "eighty-nine billion, five hundred sixty-one million, five hundred ninety thousand, two hundred seventy-two".