2557067595264 has 1600 divisors, whose sum is σ = 9941933675520. Its totient is φ = 635895152640.

The previous prime is 2557067595233. The next prime is 2557067595281. The reversal of 2557067595264 is 4625957607552.

2557067595264 is a `hidden beast` number, since 2 + 5 + 57 + 0 + 6 + 7 + 59 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 7725279579 + ... + 7725279909.

Almost surely, 2^{2557067595264} is an apocalyptic number.

2557067595264 is a gapful number since it is divisible by the number (24) 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 2557067595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970966837760).

2557067595264 is an abundant number, since it is smaller than the sum of its proper divisors (7384866080256).

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

2557067595264 is a wasteful number, since it uses less digits than its factorization.

2557067595264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 2557067595264 in words is "two trillion, five hundred fifty-seven billion, sixty-seven million, five hundred ninety-five thousand, two hundred sixty-four".