564295455360 has 896 divisors, whose sum is σ = 2489544812160. Its totient is φ = 119051182080.

The previous prime is 564295455359. The next prime is 564295455379. The reversal of 564295455360 is 63554592465.

564295455360 is a `hidden beast` number, since 5 + 6 + 4 + 29 + 5 + 4 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 564295455297 and 564295455306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42450315 + ... + 42463605.

It is an arithmetic number, because the mean of its divisors is an integer number (2778509835).

Almost surely, 2^564295455360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564295455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244772406080).

564295455360 is an abundant number, since it is smaller than the sum of its proper divisors (1925249356800).

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

564295455360 is a wasteful number, since it uses less digits than its factorization.

564295455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 564295455360 in words is "five hundred sixty-four billion, two hundred ninety-five million, four hundred fifty-five thousand, three hundred sixty".