104652766800000 has 384 divisors, whose sum is σ = 386064096566400. Its totient is φ = 27907401600000.

The previous prime is 104652766799897. The next prime is 104652766800007. The reversal of 104652766800000 is 8667256401.

104652766800000 is a `hidden beast` number, since 1 + 0 + 46 + 527 + 6 + 6 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104652766800007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5954965 + ... + 15645035.

It is an arithmetic number, because the mean of its divisors is an integer number (1005375251475).

Almost surely, 2^{104652766800000} is an apocalyptic number.

104652766800000 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 104652766800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193032048283200).

104652766800000 is an abundant number, since it is smaller than the sum of its proper divisors (281411329766400).

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

104652766800000 is an frugal number, since it uses more digits than its factorization.

104652766800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690119 (or 9690081 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104652766800000 in words is "one hundred four trillion, six hundred fifty-two billion, seven hundred sixty-six million, eight hundred thousand".