80693832960 has 1440 divisors, whose sum is σ = 344037576960. Its totient is φ = 17868128256.

The previous prime is 80693832953. The next prime is 80693833007. The reversal of 80693832960 is 6923839608.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×80693832960² (a number of 23 digits) contains 22 as substring.

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 = 80693832897 and 80693832906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 589006012 + ... + 589006148.

It is an arithmetic number, because the mean of its divisors is an integer number (238914984).

Almost surely, 2^80693832960 is an apocalyptic number.

80693832960 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 80693832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172018788480).

80693832960 is an abundant number, since it is smaller than the sum of its proper divisors (263343744000).

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

80693832960 is a wasteful number, since it uses less digits than its factorization.

80693832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 80693832960 in words is "eighty billion, six hundred ninety-three million, eight hundred thirty-two thousand, nine hundred sixty".