10056415776417 has 128 divisors (see below), whose sum is σ = 16025615424000. Its totient is φ = 6210637701120.

The previous prime is 10056415776413. The next prime is 10056415776601. The reversal of 10056415776417 is 71467751465001.

10056415776417 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 4 + 1 + 577 + 64 + 1 + 7 = 666.

It is not a de Polignac number, because 10056415776417 - 2² = 10056415776413 is a prime.

It is a super-2 number, since 2×10056415776417² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056415776413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3405489813 + ... + 3405492765.

It is an arithmetic number, because the mean of its divisors is an integer number (125200120500).

Almost surely, 2^{10056415776417} is an apocalyptic number.

10056415776417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10056415776417 is a deficient number, since it is larger than the sum of its proper divisors (5969199647583).

10056415776417 is a wasteful number, since it uses less digits than its factorization.

10056415776417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 10056415776417 in words is "ten trillion, fifty-six billion, four hundred fifteen million, seven hundred seventy-six thousand, four hundred seventeen".