2563417213056 has 768 divisors, whose sum is σ = 9109505433600. Its totient is φ = 675549020160.

The previous prime is 2563417212973. The next prime is 2563417213081. The reversal of 2563417213056 is 6503127143652.

2563417213056 is a `hidden beast` number, since 2 + 5 + 634 + 1 + 7 + 2 + 1 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×2563417213056² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3999090496 + ... + 3999091136.

It is an arithmetic number, because the mean of its divisors is an integer number (11861335200).

Almost surely, 2^{2563417213056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563417213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554752716800).

2563417213056 is an abundant number, since it is smaller than the sum of its proper divisors (6546088220544).

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

2563417213056 is a wasteful number, since it uses less digits than its factorization.

2563417213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2563417213056 in words is "two trillion, five hundred sixty-three billion, four hundred seventeen million, two hundred thirteen thousand, fifty-six".