2566538569764 has 729 divisors, whose sum is σ = 7919069383953. Its totient is φ = 700387129728.

The previous prime is 2566538569747. The next prime is 2566538569789. The reversal of 2566538569764 is 4679658356652.

The square root of 2566538569764 is 1602042.

It is a perfect power (a square), and thus also a powerful number.

2566538569764 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 53 + 8 + 569 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379665468900 + 2186873100864 = 616170^2 + 1478808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2566538569692 and 2566538569701.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 54607203589 + ... + 54607203635.

Almost surely, 2^{2566538569764} is an apocalyptic number.

2566538569764 is the 1602042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566538569764

2566538569764 is an abundant number, since it is smaller than the sum of its proper divisors (5352530814189).

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

2566538569764 is a wasteful number, since it uses less digits than its factorization.

2566538569764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 2566538569764 in words is "two trillion, five hundred sixty-six billion, five hundred thirty-eight million, five hundred sixty-nine thousand, seven hundred sixty-four".