2256611566500 has 576 divisors, whose sum is σ = 7635127578624. Its totient is φ = 560044800000.

The previous prime is 2256611566499. The next prime is 2256611566507. The reversal of 2256611566500 is 56651166522.

2256611566500 is a `hidden beast` number, since 2 + 25 + 6 + 6 + 11 + 566 + 50 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2256611566507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406081722 + ... + 406087278.

It is an arithmetic number, because the mean of its divisors is an integer number (13255429824).

Almost surely, 2^{2256611566500} is an apocalyptic number.

2256611566500 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 2256611566500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817563789312).

2256611566500 is an abundant number, since it is smaller than the sum of its proper divisors (5378516012124).

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

2256611566500 is a wasteful number, since it uses less digits than its factorization.

2256611566500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2256611566500 in words is "two trillion, two hundred fifty-six billion, six hundred eleven million, five hundred sixty-six thousand, five hundred".