89579986560 has 448 divisors, whose sum is σ = 324430949160. Its totient is φ = 23639040000.

The previous prime is 89579986547. The next prime is 89579986577. The reversal of 89579986560 is 6568997598.

89579986560 is a `hidden beast` number, since 8 + 9 + 57 + 9 + 9 + 8 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74896363584 + 14683622976 = 273672^2 + 121176^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47121610 + ... + 47123510.

Almost surely, 2^89579986560 is an apocalyptic number.

89579986560 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 89579986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162215474580).

89579986560 is an abundant number, since it is smaller than the sum of its proper divisors (234850962600).

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

89579986560 is a wasteful number, since it uses less digits than its factorization.

89579986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 89579986560 in words is "eighty-nine billion, five hundred seventy-nine million, nine hundred eighty-six thousand, five hundred sixty".