104765836492800 has 2880 divisors, whose sum is σ = 460411465113600. Its totient is φ = 23115815976960.

The previous prime is 104765836492781. The next prime is 104765836492951. The reversal of 104765836492800 is 8294638567401.

104765836492800 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 6 + 583 + 6 + 49 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×104765836492800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 824927846337 + ... + 824927846463.

It is a 1-persistent number, because it is pandigital, but 2⋅104765836492800 = 209531672985600 is not.

Almost surely, 2^{104765836492800} is an apocalyptic number.

104765836492800 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 104765836492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230205732556800).

104765836492800 is an abundant number, since it is smaller than the sum of its proper divisors (355645628620800).

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

104765836492800 is an frugal number, since it uses more digits than its factorization.

104765836492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 104765836492800 in words is "one hundred four trillion, seven hundred sixty-five billion, eight hundred thirty-six million, four hundred ninety-two thousand, eight hundred".