10752272676400 has 60 divisors (see below), whose sum is σ = 25853219346592. Its totient is φ = 4297431985920.

The previous prime is 10752272676373. The next prime is 10752272676499. The reversal of 10752272676400 is 467627225701.

10752272676400 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 2×10752272676400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10370472 + ... + 11360071.

Almost surely, 2^{10752272676400} is an apocalyptic number.

10752272676400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10752272676400 is an abundant number, since it is smaller than the sum of its proper divisors (15100946670192).

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

10752272676400 is a wasteful number, since it uses less digits than its factorization.

10752272676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21731798 (or 21731787 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 10752272676400 in words is "ten trillion, seven hundred fifty-two billion, two hundred seventy-two million, six hundred seventy-six thousand, four hundred".