564128893440000 has 5460 divisors, whose sum is σ = 2550720963014400. Its totient is φ = 124157214720000.

The previous prime is 564128893439843. The next prime is 564128893440023. The reversal of 564128893440000 is 44398821465.

564128893440000 is a `hidden beast` number, since 5 + 6 + 4 + 128 + 89 + 34 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 2834818559901 + ... + 2834818560099.

Almost surely, 2^{564128893440000} is an apocalyptic number.

564128893440000 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 564128893440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275360481507200).

564128893440000 is an abundant number, since it is smaller than the sum of its proper divisors (1986592069574400).

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

564128893440000 is an frugal number, since it uses more digits than its factorization.

564128893440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 564128893440000 in words is "five hundred sixty-four trillion, one hundred twenty-eight billion, eight hundred ninety-three million, four hundred forty thousand".