10357120189504 has 63 divisors (see below), whose sum is σ = 22591283688183. Its totient is φ = 4707653174400.

The previous prime is 10357120189489. The next prime is 10357120189517. The reversal of 10357120189504 is 40598102175301.

The square root of 10357120189504 is 3218248.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×10357120189504³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283187539 + ... + 283224109.

Almost surely, 2^{10357120189504} is an apocalyptic number.

10357120189504 is the 3218248-th square number.

It is an amenable number.

10357120189504 is an abundant number, since it is smaller than the sum of its proper divisors (12234163498679).

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

10357120189504 is an frugal number, since it uses more digits than its factorization.

10357120189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73176 (or 36584 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 10357120189504 in words is "ten trillion, three hundred fifty-seven billion, one hundred twenty million, one hundred eighty-nine thousand, five hundred four".