2561568364800 has 1728 divisors, whose sum is σ = 10150608652800. Its totient is φ = 638522818560.

The previous prime is 2561568364781. The next prime is 2561568364801. The reversal of 2561568364800 is 84638651652.

2561568364800 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 568 + 36 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (2561568364801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23500627146 + ... + 23500627254.

Almost surely, 2^{2561568364800} is an apocalyptic number.

2561568364800 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 2561568364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075304326400).

2561568364800 is an abundant number, since it is smaller than the sum of its proper divisors (7589040288000).

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

2561568364800 is an equidigital number, since it uses as much as digits as its factorization.

2561568364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2561568364800 in words is "two trillion, five hundred sixty-one billion, five hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".