2563707412800 has 420 divisors, whose sum is σ = 9977878233180. Its totient is φ = 643439738880.

The previous prime is 2563707412757. The next prime is 2563707412807. The reversal of 2563707412800 is 82147073652.

2563707412800 is a `hidden beast` number, since 2 + 5 + 637 + 0 + 7 + 4 + 1 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19631372544 + 2544076040256 = 140112^2 + 1595016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563707412807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1621386 + ... + 2785014.

Almost surely, 2^{2563707412800} is an apocalyptic number.

2563707412800 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 2563707412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988939116590).

2563707412800 is an abundant number, since it is smaller than the sum of its proper divisors (7414170820380).

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

2563707412800 is a wasteful number, since it uses less digits than its factorization.

2563707412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163680 (or 1163656 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2563707412800 in words is "two trillion, five hundred sixty-three billion, seven hundred seven million, four hundred twelve thousand, eight hundred".