2557513363968 has 640 divisors, whose sum is σ = 8124111452160. Its totient is φ = 792460247040.

The previous prime is 2557513363921. The next prime is 2557513363973. The reversal of 2557513363968 is 8693633157552.

2557513363968 is a `hidden beast` number, since 2 + 5 + 57 + 513 + 3 + 6 + 3 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3869157558 + ... + 3869158218.

It is an arithmetic number, because the mean of its divisors is an integer number (12693924144).

Almost surely, 2^{2557513363968} 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 2557513363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062055726080).

2557513363968 is an abundant number, since it is smaller than the sum of its proper divisors (5566598088192).

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

2557513363968 is a wasteful number, since it uses less digits than its factorization.

2557513363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1015 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 2557513363968 in words is "two trillion, five hundred fifty-seven billion, five hundred thirteen million, three hundred sixty-three thousand, nine hundred sixty-eight".