89861593680 has 120 divisors (see below), whose sum is σ = 306732633480. Its totient is φ = 23570242560.

The previous prime is 89861593663. The next prime is 89861593691. The reversal of 89861593680 is 8639516898.

89861593680 is a `hidden beast` number, since 8 + 9 + 8 + 615 + 9 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5396959296 + 84464634384 = 73464^2 + 290628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979095 + ... + 1066934.

It is an arithmetic number, because the mean of its divisors is an integer number (2556105279).

Almost surely, 2^89861593680 is an apocalyptic number.

89861593680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89861593680 is an abundant number, since it is smaller than the sum of its proper divisors (216871039800).

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

89861593680 is a wasteful number, since it uses less digits than its factorization.

89861593680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046109 (or 2046100 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 89861593680 in words is "eighty-nine billion, eight hundred sixty-one million, five hundred ninety-three thousand, six hundred eighty".