104039367767280 has 960 divisors, whose sum is σ = 407324576880000. Its totient is φ = 23714392965120.

The previous prime is 104039367767249. The next prime is 104039367767303. The reversal of 104039367767280 is 82767763930401.

104039367767280 is a `hidden beast` number, since 1 + 0 + 40 + 393 + 6 + 77 + 67 + 2 + 80 = 666.

It is a super-2 number, since 2×104039367767280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20348006004 + ... + 20348011116.

It is an arithmetic number, because the mean of its divisors is an integer number (424296434250).

Almost surely, 2^{104039367767280} is an apocalyptic number.

104039367767280 is a gapful number since it is divisible by the number (10) 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 104039367767280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203662288440000).

104039367767280 is an abundant number, since it is smaller than the sum of its proper divisors (303285209112720).

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

104039367767280 is a wasteful number, since it uses less digits than its factorization.

104039367767280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 104039367767280 in words is "one hundred four trillion, thirty-nine billion, three hundred sixty-seven million, seven hundred sixty-seven thousand, two hundred eighty".