2057715259938 has 160 divisors (see below), whose sum is σ = 5264443434096. Its totient is φ = 595120545792.

The previous prime is 2057715259933. The next prime is 2057715259939. The reversal of 2057715259938 is 8399525177502.

2057715259938 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 7 + 1 + 5 + 2 + 599 + 38 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 652416444729 + 1405298815209 = 807723^2 + 1185453^2 .

It is not an unprimeable number, because it can be changed into a prime (2057715259933) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27637770 + ... + 27712122.

Almost surely, 2^{2057715259938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057715259938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632221717048).

2057715259938 is an abundant number, since it is smaller than the sum of its proper divisors (3206728174158).

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

2057715259938 is a wasteful number, since it uses less digits than its factorization.

2057715259938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75170 (or 75161 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 2057715259938 in words is "two trillion, fifty-seven billion, seven hundred fifteen million, two hundred fifty-nine thousand, nine hundred thirty-eight".