2557525516800 has 480 divisors, whose sum is σ = 9021113468928. Its totient is φ = 637173841920.

The previous prime is 2557525516747. The next prime is 2557525516817. The reversal of 2557525516800 is 86155257552.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37943929 + ... + 38011271.

Almost surely, 2^{2557525516800} is an apocalyptic number.

2557525516800 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 2557525516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510556734464).

2557525516800 is an abundant number, since it is smaller than the sum of its proper divisors (6463587952128).

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

2557525516800 is a wasteful number, since it uses less digits than its factorization.

2557525516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67440 (or 67419 counting only the distinct ones).

The product of its (nonzero) digits is 4200000, while the sum is 51.

The spelling of 2557525516800 in words is "two trillion, five hundred fifty-seven billion, five hundred twenty-five million, five hundred sixteen thousand, eight hundred".