80193576960 has 672 divisors, whose sum is σ = 329752829952. Its totient is φ = 18314035200.

The previous prime is 80193576937. The next prime is 80193577007. The reversal of 80193576960 is 6967539108.

80193576960 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 3 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 80193576897 and 80193576906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672385 + ... + 69673535.

It is an arithmetic number, because the mean of its divisors is an integer number (490703616).

Almost surely, 2^80193576960 is an apocalyptic number.

80193576960 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 80193576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164876414976).

80193576960 is an abundant number, since it is smaller than the sum of its proper divisors (249559252992).

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

80193576960 is an equidigital number, since it uses as much as digits as its factorization.

80193576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 80193576960 in words is "eighty billion, one hundred ninety-three million, five hundred seventy-six thousand, nine hundred sixty".