10056929409801 has 12 divisors (see below), whose sum is σ = 14533950089412. Its totient is φ = 6701262248736.

The previous prime is 10056929409763. The next prime is 10056929409817. The reversal of 10056929409801 is 10890492965001.

10056929409801 is a `hidden beast` number, since 10 + 0 + 569 + 29 + 40 + 9 + 8 + 0 + 1 = 666.

10056929409801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4754248819776 + 5302680590025 = 2180424^2 + 2302755^2 .

It is not a de Polignac number, because 10056929409801 - 2³⁷ = 9919490456329 is a prime.

It is a super-2 number, since 2×10056929409801² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056929409871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279760846 + ... + 279796791.

It is an arithmetic number, because the mean of its divisors is an integer number (1211162507451).

Almost surely, 2^{10056929409801} is an apocalyptic number.

It is an amenable number.

10056929409801 is a deficient number, since it is larger than the sum of its proper divisors (4477020679611).

10056929409801 is a wasteful number, since it uses less digits than its factorization.

10056929409801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559559640 (or 559559637 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 10056929409801 in words is "ten trillion, fifty-six billion, nine hundred twenty-nine million, four hundred nine thousand, eight hundred one".