80964956160 has 1456 divisors, whose sum is σ = 348083425440. Its totient is φ = 17836277760.

The previous prime is 80964956153. The next prime is 80964956179. The reversal of 80964956160 is 6165946908.

It is a happy number.

80964956160 is a `hidden beast` number, since 8 + 0 + 96 + 495 + 6 + 1 + 60 = 666.

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 = 80964956097 and 80964956106.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2791895026 + ... + 2791895054.

Almost surely, 2^80964956160 is an apocalyptic number.

80964956160 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 80964956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174041712720).

80964956160 is an abundant number, since it is smaller than the sum of its proper divisors (267118469280).

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

80964956160 is a wasteful number, since it uses less digits than its factorization.

80964956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 80964956160 in words is "eighty billion, nine hundred sixty-four million, nine hundred fifty-six thousand, one hundred sixty".