10056929409800 has 192 divisors, whose sum is σ = 30292938211200. Its totient is φ = 3015333734400.

The previous prime is 10056929409763. The next prime is 10056929409817. The reversal of 10056929409800 is 890492965001.

It is a super-2 number, since 2×10056929409800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14195741 + ... + 14887340.

It is an arithmetic number, because the mean of its divisors is an integer number (157775719850).

Almost surely, 2^{10056929409800} is an apocalyptic number.

10056929409800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056929409800 is an abundant number, since it is smaller than the sum of its proper divisors (20236008801400).

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

10056929409800 is a wasteful number, since it uses less digits than its factorization.

10056929409800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29083136 (or 29083127 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 10056929409800 in words is "ten trillion, fifty-six billion, nine hundred twenty-nine million, four hundred nine thousand, eight hundred".