2556571046400 has 720 divisors, whose sum is σ = 10582556048064. Its totient is φ = 577303511040.

The previous prime is 2556571046377. The next prime is 2556571046429. The reversal of 2556571046400 is 46401756552.

2556571046400 is a `hidden beast` number, since 2 + 5 + 565 + 7 + 1 + 0 + 46 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66912102 + ... + 66950298.

Almost surely, 2^{2556571046400} is an apocalyptic number.

2556571046400 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 2556571046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291278024032).

2556571046400 is an abundant number, since it is smaller than the sum of its proper divisors (8025985001664).

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

2556571046400 is a wasteful number, since it uses less digits than its factorization.

2556571046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38321 (or 38297 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2556571046400 in words is "two trillion, five hundred fifty-six billion, five hundred seventy-one million, forty-six thousand, four hundred".