80157204172800 has 936 divisors, whose sum is σ = 309921753024000. Its totient is φ = 19740713287680.

The previous prime is 80157204172769. The next prime is 80157204172819. The reversal of 80157204172800 is 827140275108.

80157204172800 is a `hidden beast` number, since 8 + 0 + 1 + 572 + 0 + 4 + 1 + 72 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 614642001 + ... + 614772399.

It is an arithmetic number, because the mean of its divisors is an integer number (331112984000).

Almost surely, 2^{80157204172800} is an apocalyptic number.

80157204172800 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 80157204172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154960876512000).

80157204172800 is an abundant number, since it is smaller than the sum of its proper divisors (229764548851200).

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

80157204172800 is a wasteful number, since it uses less digits than its factorization.

80157204172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130491 (or 130461 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 80157204172800 in words is "eighty trillion, one hundred fifty-seven billion, two hundred four million, one hundred seventy-two thousand, eight hundred".