89974770788160 has 1120 divisors, whose sum is σ = 340735751262720. Its totient is φ = 22498792243200.

The previous prime is 89974770788153. The next prime is 89974770788183. The reversal of 89974770788160 is 6188707747998.

89974770788160 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 477 + 0 + 7 + 8 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 89974770788160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4628084040 + ... + 4628103480.

Almost surely, 2^{89974770788160} is an apocalyptic number.

89974770788160 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 89974770788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170367875631360).

89974770788160 is an abundant number, since it is smaller than the sum of its proper divisors (250760980474560).

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

89974770788160 is a wasteful number, since it uses less digits than its factorization.

89974770788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19677 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 2389782528, while the sum is 81.

The spelling of 89974770788160 in words is "eighty-nine trillion, nine hundred seventy-four billion, seven hundred seventy million, seven hundred eighty-eight thousand, one hundred sixty".