13057751144772 has 144 divisors (see below), whose sum is σ = 34987303233792. Its totient is φ = 4092026188800.

The previous prime is 13057751144761. The next prime is 13057751144783. The reversal of 13057751144772 is 27744115775031.

13057751144772 is a `hidden beast` number, since 1 + 3 + 0 + 57 + 7 + 5 + 114 + 477 + 2 = 666.

13057751144772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13057751144761) and next prime (13057751144783).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3528166522 + ... + 3528170222.

It is an arithmetic number, because the mean of its divisors is an integer number (242967383568).

Almost surely, 2^{13057751144772} is an apocalyptic number.

13057751144772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13057751144772 is an abundant number, since it is smaller than the sum of its proper divisors (21929552089020).

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

13057751144772 is a wasteful number, since it uses less digits than its factorization.

13057751144772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 13057751144772 in words is "thirteen trillion, fifty-seven billion, seven hundred fifty-one million, one hundred forty-four thousand, seven hundred seventy-two".