564528048000 has 512 divisors, whose sum is σ = 2175081292800. Its totient is φ = 126843494400.

The previous prime is 564528047999. The next prime is 564528048011. The reversal of 564528048000 is 840825465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19809762 + ... + 19838238.

It is an arithmetic number, because the mean of its divisors is an integer number (4248205650).

Almost surely, 2^564528048000 is an apocalyptic number.

564528048000 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 564528048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087540646400).

564528048000 is an abundant number, since it is smaller than the sum of its proper divisors (1610553244800).

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

564528048000 is a wasteful number, since it uses less digits than its factorization.

564528048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28575 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 564528048000 in words is "five hundred sixty-four billion, five hundred twenty-eight million, forty-eight thousand".