104720000536800 has 1440 divisors, whose sum is σ = 439212960071424. Its totient is φ = 24032194560000.

The previous prime is 104720000536793. The next prime is 104720000536829. The reversal of 104720000536800 is 8635000027401.

104720000536800 is a `hidden beast` number, since 1 + 0 + 47 + 2 + 0 + 0 + 0 + 0 + 536 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1590223875 + ... + 1590289725.

Almost surely, 2^{104720000536800} is an apocalyptic number.

104720000536800 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 104720000536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219606480035712).

104720000536800 is an abundant number, since it is smaller than the sum of its proper divisors (334492959534624).

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

104720000536800 is a wasteful number, since it uses less digits than its factorization.

104720000536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66014 (or 65992 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 104720000536800 in words is "one hundred four trillion, seven hundred twenty billion, five hundred thirty-six thousand, eight hundred".