568126540800 has 1980 divisors, whose sum is σ = 2587938909920. Its totient is φ = 118351134720.

The previous prime is 568126540799. The next prime is 568126540819. The reversal of 568126540800 is 8045621865.

568126540800 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 26 + 540 + 80 + 0 = 666.

It is a super-2 number, since 2×568126540800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7191475161 + ... + 7191475239.

Almost surely, 2^568126540800 is an apocalyptic number.

568126540800 is a gapful number since it is divisible by the number (50) 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 568126540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293969454960).

568126540800 is an abundant number, since it is smaller than the sum of its proper divisors (2019812369120).

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

568126540800 is a wasteful number, since it uses less digits than its factorization.

568126540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 568126540800 in words is "five hundred sixty-eight billion, one hundred twenty-six million, five hundred forty thousand, eight hundred".