10476582720 has 56 divisors (see below), whose sum is σ = 33263153184. Its totient is φ = 2793755136.

The previous prime is 10476582719. The next prime is 10476582763. The reversal of 10476582720 is 2728567401.

10476582720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 5455594 + ... + 5457513.

Almost surely, 2^10476582720 is an apocalyptic number.

10476582720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10476582720 is an abundant number, since it is smaller than the sum of its proper divisors (22786570464).

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

10476582720 is a wasteful number, since it uses less digits than its factorization.

10476582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10913127 (or 10913117 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 10476582720 in words is "ten billion, four hundred seventy-six million, five hundred eighty-two thousand, seven hundred twenty".