80976188160 has 1152 divisors, whose sum is σ = 351633408000. Its totient is φ = 17235099648.

The previous prime is 80976188119. The next prime is 80976188233. The reversal of 80976188160 is 6188167908.

80976188160 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 618 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80976188097 and 80976188106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 363121809 + ... + 363122031.

Almost surely, 2^80976188160 is an apocalyptic number.

80976188160 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 80976188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816704000).

80976188160 is an abundant number, since it is smaller than the sum of its proper divisors (270657219840).

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

80976188160 is a wasteful number, since it uses less digits than its factorization.

80976188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 80976188160 in words is "eighty billion, nine hundred seventy-six million, one hundred eighty-eight thousand, one hundred sixty".