89945078572800 has 2160 divisors, whose sum is σ = 371970442513824. Its totient is φ = 21437374464000.

The previous prime is 89945078572763. The next prime is 89945078572847. The reversal of 89945078572800 is 827587054998.

89945078572800 is a `hidden beast` number, since 8 + 9 + 9 + 45 + 0 + 7 + 8 + 572 + 8 + 0 + 0 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42089413332 + ... + 42089415468.

Almost surely, 2^{89945078572800} is an apocalyptic number.

89945078572800 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 89945078572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185985221256912).

89945078572800 is an abundant number, since it is smaller than the sum of its proper divisors (282025363941024).

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

89945078572800 is a wasteful number, since it uses less digits than its factorization.

89945078572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 89945078572800 in words is "eighty-nine trillion, nine hundred forty-five billion, seventy-eight million, five hundred seventy-two thousand, eight hundred".