2556578304000 has 624 divisors, whose sum is σ = 10532923539840. Its totient is φ = 584353382400.

The previous prime is 2556578303987. The next prime is 2556578304013. The reversal of 2556578304000 is 4038756552.

2556578304000 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 578 + 30 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2556578303987) and next prime (2556578304013).

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

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 47 ways as a sum of consecutive naturals, for example, 32216371 + ... + 32295629.

It is an arithmetic number, because the mean of its divisors is an integer number (16879685160).

Almost surely, 2^{2556578304000} is an apocalyptic number.

2556578304000 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 2556578304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266461769920).

2556578304000 is an abundant number, since it is smaller than the sum of its proper divisors (7976345235840).

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

2556578304000 is an equidigital number, since it uses as much as digits as its factorization.

2556578304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79311 (or 79276 counting only the distinct ones).

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

The spelling of 2556578304000 in words is "two trillion, five hundred fifty-six billion, five hundred seventy-eight million, three hundred four thousand".