80857642188960 has 3456 divisors, whose sum is σ = 374772737364480. Its totient is φ = 16296951250944.

The previous prime is 80857642188959. The next prime is 80857642188977. The reversal of 80857642188960 is 6988124675808.

80857642188960 is a `hidden beast` number, since 8 + 0 + 8 + 576 + 42 + 1 + 8 + 8 + 9 + 6 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 73977714174 + ... + 73977715266.

It is an arithmetic number, because the mean of its divisors is an integer number (108441185580).

Almost surely, 2^{80857642188960} is an apocalyptic number.

80857642188960 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 80857642188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187386368682240).

80857642188960 is an abundant number, since it is smaller than the sum of its proper divisors (293915095175520).

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

80857642188960 is a wasteful number, since it uses less digits than its factorization.

80857642188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 80857642188960 in words is "eighty trillion, eight hundred fifty-seven billion, six hundred forty-two million, one hundred eighty-eight thousand, nine hundred sixty".