80059804400961 has 144 divisors (see below), whose sum is σ = 148934754259200. Its totient is φ = 40541760230400.

The previous prime is 80059804400893. The next prime is 80059804401007. The reversal of 80059804400961 is 16900440895008.

80059804400961 is a `hidden beast` number, since 8 + 0 + 0 + 598 + 0 + 4 + 40 + 0 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 80059804400961 - 2⁹ = 80059804400449 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80059804400898 and 80059804400907.

It is not an unprimeable number, because it can be changed into a prime (80059804401961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382135365 + ... + 382344813.

It is an arithmetic number, because the mean of its divisors is an integer number (1034269126800).

Almost surely, 2^{80059804400961} is an apocalyptic number.

It is an amenable number.

80059804400961 is a deficient number, since it is larger than the sum of its proper divisors (68874949858239).

80059804400961 is a wasteful number, since it uses less digits than its factorization.

80059804400961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210748 (or 210734 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 80059804400961 in words is "eighty trillion, fifty-nine billion, eight hundred four million, four hundred thousand, nine hundred sixty-one".