10077826056057 has 8 divisors (see below), whose sum is σ = 14930112675680. Its totient is φ = 6718550704020.

The previous prime is 10077826056031. The next prime is 10077826056127. The reversal of 10077826056057 is 75065062877001.

It is a happy number.

10077826056057 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 7 + 8 + 26 + 0 + 5 + 605 + 7 = 666.

It is not a de Polignac number, because 10077826056057 - 2¹² = 10077826051961 is a prime.

It is a super-2 number, since 2×10077826056057² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10077826055994 and 10077826056012.

It is not an unprimeable number, because it can be changed into a prime (10077826052057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186626408419 + ... + 186626408472.

It is an arithmetic number, because the mean of its divisors is an integer number (1866264084460).

Almost surely, 2^{10077826056057} is an apocalyptic number.

It is an amenable number.

10077826056057 is a deficient number, since it is larger than the sum of its proper divisors (4852286619623).

10077826056057 is an equidigital number, since it uses as much as digits as its factorization.

10077826056057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373252816900 (or 373252816894 counting only the distinct ones).

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

The spelling of 10077826056057 in words is "ten trillion, seventy-seven billion, eight hundred twenty-six million, fifty-six thousand, fifty-seven".