566435016510000 has 400 divisors, whose sum is σ = 2099744817075840. Its totient is φ = 130090337280000.

The previous prime is 566435016509977. The next prime is 566435016510113. The reversal of 566435016510000 is 15610534665.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38900257 + ... + 51440256.

Almost surely, 2^{566435016510000} is an apocalyptic number.

566435016510000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

566435016510000 is an abundant number, since it is smaller than the sum of its proper divisors (1533309800565840).

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

566435016510000 is a wasteful number, since it uses less digits than its factorization.

566435016510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90340574 (or 90340553 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 566435016510000 in words is "five hundred sixty-six trillion, four hundred thirty-five billion, sixteen million, five hundred ten thousand".