5057257734144 has 1224 divisors, whose sum is σ = 18796915178496. Its totient is φ = 1282041446400.

The previous prime is 5057257734143. The next prime is 5057257734181. The reversal of 5057257734144 is 4414377527505.

5057257734144 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 257 + 7 + 341 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5057257734143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26477789089 + ... + 26477789279.

Almost surely, 2^{5057257734144} 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 5057257734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398457589248).

5057257734144 is an abundant number, since it is smaller than the sum of its proper divisors (13739657444352).

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

5057257734144 is a wasteful number, since it uses less digits than its factorization.

5057257734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 5057257734144 in words is "five trillion, fifty-seven billion, two hundred fifty-seven million, seven hundred thirty-four thousand, one hundred forty-four".