104393527056000 has 4608 divisors, whose sum is σ = 495754697168640. Its totient is φ = 21633454080000.

The previous prime is 104393527055989. The next prime is 104393527056019. The reversal of 104393527056000 is 650725393401.

104393527056000 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 35 + 2 + 7 + 0 + 5 + 600 + 0 = 666.

104393527056000 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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 151076015655 + ... + 151076016345.

Almost surely, 2^{104393527056000} is an apocalyptic number.

104393527056000 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 104393527056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247877348584320).

104393527056000 is an abundant number, since it is smaller than the sum of its proper divisors (391361170112640).

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

104393527056000 is an equidigital number, since it uses as much as digits as its factorization.

104393527056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 104393527056000 in words is "one hundred four trillion, three hundred ninety-three billion, five hundred twenty-seven million, fifty-six thousand".