10577645379 has 24 divisors (see below), whose sum is σ = 17867596032. Its totient is φ = 5903800560.

The previous prime is 10577645347. The next prime is 10577645381. The reversal of 10577645379 is 97354677501.

10577645379 is a `hidden beast` number, since 1 + 0 + 57 + 76 + 453 + 79 = 666.

It is not a de Polignac number, because 10577645379 - 2⁵ = 10577645347 is a prime.

It is a super-2 number, since 2×10577645379² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577645279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1949607 + ... + 1955024.

It is an arithmetic number, because the mean of its divisors is an integer number (744483168).

Almost surely, 2^10577645379 is an apocalyptic number.

10577645379 is a deficient number, since it is larger than the sum of its proper divisors (7289950653).

10577645379 is a wasteful number, since it uses less digits than its factorization.

10577645379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904687 (or 3904684 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 10577645379 in words is "ten billion, five hundred seventy-seven million, six hundred forty-five thousand, three hundred seventy-nine".