566000010051600 has 120 divisors (see below), whose sum is σ = 1891916555429952. Its totient is φ = 144371017049600.

The previous prime is 566000010051529. The next prime is 566000010051607. The reversal of 566000010051600 is 6150010000665.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×566000010051600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (566000010051607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10253595771 + ... + 10253650970.

Almost surely, 2^{566000010051600} is an apocalyptic number.

566000010051600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

566000010051600 is an abundant number, since it is smaller than the sum of its proper divisors (1325916545378352).

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

566000010051600 is a wasteful number, since it uses less digits than its factorization.

566000010051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20507246785 (or 20507246774 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 566000010051600 in words is "five hundred sixty-six trillion, ten million, fifty-one thousand, six hundred".