5757246647120 has 20 divisors (see below), whose sum is σ = 13385598454740. Its totient is φ = 2302898658816.

The previous prime is 5757246647101. The next prime is 5757246647161. The reversal of 5757246647120 is 217466427575.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2564392282384 + 3192854364736 = 1601372^2 + 1786856^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×5757246647120³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35982791465 + ... + 35982791624.

It is an arithmetic number, because the mean of its divisors is an integer number (669279922737).

Almost surely, 2^{5757246647120} is an apocalyptic number.

It is an amenable number.

5757246647120 is an abundant number, since it is smaller than the sum of its proper divisors (7628351807620).

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

5757246647120 is a wasteful number, since it uses less digits than its factorization.

5757246647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71965583102 (or 71965583096 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 56.

The spelling of 5757246647120 in words is "five trillion, seven hundred fifty-seven billion, two hundred forty-six million, six hundred forty-seven thousand, one hundred twenty".