10056510610566 has 16 divisors (see below), whose sum is σ = 22986309967104. Its totient is φ = 2873288745864.

The previous prime is 10056510610507. The next prime is 10056510610571. The reversal of 10056510610566 is 66501601565001.

10056510610566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056510610566² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 239440728823 = 10056510610566 / (1 + 0 + 0 + 5 + 6 + 5 + 1 + 0 + 6 + 1 + 0 + 5 + 6 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119720364370 + ... + 119720364453.

It is an arithmetic number, because the mean of its divisors is an integer number (1436644372944).

Almost surely, 2^{10056510610566} is an apocalyptic number.

10056510610566 is an abundant number, since it is smaller than the sum of its proper divisors (12929799356538).

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

10056510610566 is a wasteful number, since it uses less digits than its factorization.

10056510610566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239440728835.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 10056510610566 in words is "ten trillion, fifty-six billion, five hundred ten million, six hundred ten thousand, five hundred sixty-six".