2563712800920 has 768 divisors, whose sum is σ = 9518850432000. Its totient is φ = 618192746496.

The previous prime is 2563712800879. The next prime is 2563712800949. The reversal of 2563712800920 is 290082173652.

2563712800920 is a `hidden beast` number, since 2 + 5 + 637 + 1 + 2 + 8 + 0 + 0 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362153941 + ... + 362161019.

It is an arithmetic number, because the mean of its divisors is an integer number (12394336500).

Almost surely, 2^{2563712800920} is an apocalyptic number.

2563712800920 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 2563712800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759425216000).

2563712800920 is an abundant number, since it is smaller than the sum of its proper divisors (6955137631080).

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

2563712800920 is a wasteful number, since it uses less digits than its factorization.

2563712800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2563712800920 in words is "two trillion, five hundred sixty-three billion, seven hundred twelve million, eight hundred thousand, nine hundred twenty".