10577645380 has 24 divisors (see below), whose sum is σ = 22215872448. Its totient is φ = 4230521568.

The previous prime is 10577645347. The next prime is 10577645381. The reversal of 10577645380 is 8354677501.

10577645380 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 2×10577645380² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10577645380.

It is not an unprimeable number, because it can be changed into a prime (10577645381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153567 + ... + 211513.

It is an arithmetic number, because the mean of its divisors is an integer number (925661352).

Almost surely, 2^10577645380 is an apocalyptic number.

10577645380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10577645380 is an abundant number, since it is smaller than the sum of its proper divisors (11638227068).

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

10577645380 is a wasteful number, since it uses less digits than its factorization.

10577645380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67083 (or 67081 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 10577645380 in words is "ten billion, five hundred seventy-seven million, six hundred forty-five thousand, three hundred eighty".