89467645132800 has 2448 divisors, whose sum is σ = 374839068764160. Its totient is φ = 20957626368000.

The previous prime is 89467645132799. The next prime is 89467645132849. The reversal of 89467645132800 is 823154676498.

89467645132800 is a `hidden beast` number, since 8 + 9 + 4 + 6 + 76 + 451 + 32 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135762738871 + ... + 135762739529.

It is a 1-persistent number, because it is pandigital, but 2⋅89467645132800 = 178935290265600 is not.

Almost surely, 2^{89467645132800} is an apocalyptic number.

89467645132800 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 89467645132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187419534382080).

89467645132800 is an abundant number, since it is smaller than the sum of its proper divisors (285371423631360).

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

89467645132800 is an equidigital number, since it uses as much as digits as its factorization.

89467645132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 89467645132800 in words is "eighty-nine trillion, four hundred sixty-seven billion, six hundred forty-five million, one hundred thirty-two thousand, eight hundred".