10056626641 has 64 divisors (see below), whose sum is σ = 12192768000. Its totient is φ = 8222376960.

The previous prime is 10056626639. The next prime is 10056626647. The reversal of 10056626641 is 14662665001.

It is not a de Polignac number, because 10056626641 - 2¹ = 10056626639 is a prime.

It is a super-2 number, since 2×10056626641² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10056626641.

It is not an unprimeable number, because it can be changed into a prime (10056626647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17131950 + ... + 17132536.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 2^10056626641 is an apocalyptic number.

It is an amenable number.

10056626641 is a deficient number, since it is larger than the sum of its proper divisors (2136141359).

10056626641 is a wasteful number, since it uses less digits than its factorization.

10056626641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10056626641 in words is "ten billion, fifty-six million, six hundred twenty-six thousand, six hundred forty-one".