104975533008000 has 256 divisors, whose sum is σ = 386659881504000. Its totient is φ = 27993475353600.

The previous prime is 104975533007963. The next prime is 104975533008011. The reversal of 104975533008000 is 800335579401.

104975533008000 is a `hidden beast` number, since 1 + 0 + 4 + 97 + 553 + 3 + 0 + 0 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×104975533008000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121067460 + ... + 121931459.

It is an arithmetic number, because the mean of its divisors is an integer number (1510390162125).

Almost surely, 2^{104975533008000} is an apocalyptic number.

104975533008000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104975533008000 is an abundant number, since it is smaller than the sum of its proper divisors (281684348496000).

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

104975533008000 is an equidigital number, since it uses as much as digits as its factorization.

104975533008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242998957 (or 242998929 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 104975533008000 in words is "one hundred four trillion, nine hundred seventy-five billion, five hundred thirty-three million, eight thousand".