104680291699200 has 5760 divisors, whose sum is σ = 481048113807360. Its totient is φ = 19526477414400.

The previous prime is 104680291699147. The next prime is 104680291699237. The reversal of 104680291699200 is 2996192086401.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1176183052756 + ... + 1176183052844.

It is an arithmetic number, because the mean of its divisors is an integer number (83515297536).

Almost surely, 2^{104680291699200} is an apocalyptic number.

104680291699200 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 104680291699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240524056903680).

104680291699200 is an abundant number, since it is smaller than the sum of its proper divisors (376367822108160).

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

104680291699200 is a wasteful number, since it uses less digits than its factorization.

104680291699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 104680291699200 in words is "one hundred four trillion, six hundred eighty billion, two hundred ninety-one million, six hundred ninety-nine thousand, two hundred".