10577505555 has 32 divisors (see below), whose sum is σ = 18808704000. Its totient is φ = 5640061536.

The previous prime is 10577505551. The next prime is 10577505563. The reversal of 10577505555 is 55550577501.

It is not a de Polignac number, because 10577505555 - 2² = 10577505551 is a prime.

It is a super-2 number, since 2×10577505555² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10577505555.

It is not an unprimeable number, because it can be changed into a prime (10577505551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169862 + ... + 1178868.

It is an arithmetic number, because the mean of its divisors is an integer number (587772000).

Almost surely, 2^10577505555 is an apocalyptic number.

10577505555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10577505555 is a deficient number, since it is larger than the sum of its proper divisors (8231198445).

10577505555 is an equidigital number, since it uses as much as digits as its factorization.

10577505555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 765625, while the sum is 45.

The spelling of 10577505555 in words is "ten billion, five hundred seventy-seven million, five hundred five thousand, five hundred fifty-five".