12757240905984 has 81 divisors (see below), whose sum is σ = 36782764865119. Its totient is φ = 4252356487680.

The previous prime is 12757240905953. The next prime is 12757240905989. The reversal of 12757240905984 is 48950904275721.

The square root of 12757240905984 is 3571728.

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

12757240905984 is a `hidden beast` number, since 1 + 2 + 7 + 572 + 4 + 0 + 9 + 0 + 59 + 8 + 4 = 666.

It is a super-2 number, since 2×12757240905984² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12757240905989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 171405739 + ... + 171480149.

Almost surely, 2^{12757240905984} is an apocalyptic number.

12757240905984 is the 3571728-th square number.

It is an amenable number.

12757240905984 is an abundant number, since it is smaller than the sum of its proper divisors (24025523959135).

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

12757240905984 is an frugal number, since it uses more digits than its factorization.

12757240905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148844 (or 74416 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 12757240905984 in words is "twelve trillion, seven hundred fifty-seven billion, two hundred forty million, nine hundred five thousand, nine hundred eighty-four".