89057374560 has 2160 divisors, whose sum is σ = 429957324720. Its totient is φ = 17244057600.

The previous prime is 89057374537. The next prime is 89057374589. The reversal of 89057374560 is 6547375098.

89057374560 is a `hidden beast` number, since 8 + 9 + 0 + 5 + 7 + 3 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 89057374497 and 89057374506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1459956930 + ... + 1459956990.

It is an arithmetic number, because the mean of its divisors is an integer number (199054317).

Almost surely, 2^89057374560 is an apocalyptic number.

89057374560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89057374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214978662360).

89057374560 is an abundant number, since it is smaller than the sum of its proper divisors (340899950160).

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

89057374560 is a wasteful number, since it uses less digits than its factorization.

89057374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 89057374560 in words is "eighty-nine billion, fifty-seven million, three hundred seventy-four thousand, five hundred sixty".