5757077151504 has 240 divisors, whose sum is σ = 19053913507200. Its totient is φ = 1587704315904.

The previous prime is 5757077151491. The next prime is 5757077151523. The reversal of 5757077151504 is 4051517707575.

5757077151504 is a `hidden beast` number, since 5 + 7 + 57 + 0 + 7 + 71 + 515 + 0 + 4 = 666.

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, 109272112 + ... + 109324784.

It is an arithmetic number, because the mean of its divisors is an integer number (79391306280).

Almost surely, 2^{5757077151504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757077151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526956753600).

5757077151504 is an abundant number, since it is smaller than the sum of its proper divisors (13296836355696).

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

5757077151504 is a wasteful number, since it uses less digits than its factorization.

5757077151504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56462 (or 56453 counting only the distinct ones).

The product of its (nonzero) digits is 6002500, while the sum is 54.

The spelling of 5757077151504 in words is "five trillion, seven hundred fifty-seven billion, seventy-seven million, one hundred fifty-one thousand, five hundred four".