564503139200 has 1152 divisors, whose sum is σ = 1941980496960. Its totient is φ = 157659955200.

The previous prime is 564503139197. The next prime is 564503139223. The reversal of 564503139200 is 2931305465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1303702184 + ... + 1303702616.

Almost surely, 2^564503139200 is an apocalyptic number.

564503139200 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 564503139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970990248480).

564503139200 is an abundant number, since it is smaller than the sum of its proper divisors (1377477357760).

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

564503139200 is a wasteful number, since it uses less digits than its factorization.

564503139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 564503139200 in words is "five hundred sixty-four billion, five hundred three million, one hundred thirty-nine thousand, two hundred".