5766577876900 has 81 divisors (see below), whose sum is σ = 12828314994537. Its totient is φ = 2249987635200.

The previous prime is 5766577876889. The next prime is 5766577876903. The reversal of 5766577876900 is 96787756675.

The square root of 5766577876900 is 2401370.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3770144522596 + 1996433354304 = 1941686^2 + 1412952^2 .

It is a super-2 number, since 2×5766577876900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5766577876903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 984558772 + ... + 984564628.

Almost surely, 2^{5766577876900} is an apocalyptic number.

5766577876900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5766577876900 is the 2401370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766577876900

5766577876900 is an abundant number, since it is smaller than the sum of its proper divisors (7061737117637).

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

5766577876900 is an frugal number, since it uses more digits than its factorization.

5766577876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 933508800, while the sum is 73.

The spelling of 5766577876900 in words is "five trillion, seven hundred sixty-six billion, five hundred seventy-seven million, eight hundred seventy-six thousand, nine hundred".