2557316136960 has 1280 divisors, whose sum is σ = 10076726610720. Its totient is φ = 619173642240.

The previous prime is 2557316136937. The next prime is 2557316136971. The reversal of 2557316136960 is 696316137552.

2557316136960 is a `hidden beast` number, since 2 + 5 + 573 + 1 + 6 + 1 + 3 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 2557316136897 and 2557316136906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41923215330 + ... + 41923215390.

Almost surely, 2^{2557316136960} is an apocalyptic number.

2557316136960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557316136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038363305360).

2557316136960 is an abundant number, since it is smaller than the sum of its proper divisors (7519410473760).

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

2557316136960 is an frugal number, since it uses more digits than its factorization.

2557316136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 2557316136960 in words is "two trillion, five hundred fifty-seven billion, three hundred sixteen million, one hundred thirty-six thousand, nine hundred sixty".