2557712257632 has 384 divisors, whose sum is σ = 8573426104320. Its totient is φ = 726695608320.

The previous prime is 2557712257547. The next prime is 2557712257649. The reversal of 2557712257632 is 2367522177552.

2557712257632 is a `hidden beast` number, since 2 + 5 + 57 + 7 + 12 + 2 + 576 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1210463808 + ... + 1210465920.

It is an arithmetic number, because the mean of its divisors is an integer number (22326630480).

Almost surely, 2^{2557712257632} 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 2557712257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286713052160).

2557712257632 is an abundant number, since it is smaller than the sum of its proper divisors (6015713846688).

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

2557712257632 is a wasteful number, since it uses less digits than its factorization.

2557712257632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3149 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 2557712257632 in words is "two trillion, five hundred fifty-seven billion, seven hundred twelve million, two hundred fifty-seven thousand, six hundred thirty-two".