104856652800 has 792 divisors, whose sum is σ = 418740051600. Its totient is φ = 24914165760.

The previous prime is 104856652757. The next prime is 104856652807. The reversal of 104856652800 is 8256658401.

104856652800 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 566 + 5 + 2 + 80 + 0 = 666.

104856652800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (104856652807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74418496 + ... + 74419904.

Almost surely, 2^104856652800 is an apocalyptic number.

104856652800 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 104856652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209370025800).

104856652800 is an abundant number, since it is smaller than the sum of its proper divisors (313883398800).

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

104856652800 is a wasteful number, since it uses less digits than its factorization.

104856652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 104856652800 in words is "one hundred four billion, eight hundred fifty-six million, six hundred fifty-two thousand, eight hundred".