10657121272552 has 32 divisors (see below), whose sum is σ = 21039418620000. Its totient is φ = 5046759684288.

The previous prime is 10657121272541. The next prime is 10657121272559. The reversal of 10657121272552 is 25527212175601.

10657121272552 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 2×10657121272552² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10657121272559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8807527 + ... + 9944182.

It is an arithmetic number, because the mean of its divisors is an integer number (657481831875).

Almost surely, 2^{10657121272552} is an apocalyptic number.

It is an amenable number.

10657121272552 is a deficient number, since it is larger than the sum of its proper divisors (10382297347448).

10657121272552 is a wasteful number, since it uses less digits than its factorization.

10657121272552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18755473 (or 18755469 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 46.

The spelling of 10657121272552 in words is "ten trillion, six hundred fifty-seven billion, one hundred twenty-one million, two hundred seventy-two thousand, five hundred fifty-two".