566993940100 has 243 divisors, whose sum is σ = 1483187829669. Its totient is φ = 187584868800.

The previous prime is 566993940089. The next prime is 566993940101. The reversal of 566993940100 is 1049399665.

The square root of 566993940100 is 752990.

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

It can be written as a sum of positive squares in only one way, i.e., 204117818436 + 362876121664 = 451794^2 + 602392^2 .

It is a super-2 number, since 2×566993940100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (566993940101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1633988127 + ... + 1633988473.

Almost surely, 2^566993940100 is an apocalyptic number.

566993940100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

566993940100 is the 752990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566993940100

566993940100 is an abundant number, since it is smaller than the sum of its proper divisors (916193889569).

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

566993940100 is a wasteful number, since it uses less digits than its factorization.

566993940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The spelling of 566993940100 in words is "five hundred sixty-six billion, nine hundred ninety-three million, nine hundred forty thousand, one hundred".