52564861440 has 1280 divisors, whose sum is σ = 235274941440. Its totient is φ = 10829168640.

The previous prime is 52564861403. The next prime is 52564861463. The reversal of 52564861440 is 4416846525.

It is a happy number.

52564861440 is a `hidden beast` number, since 5 + 2 + 564 + 86 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383685052 + ... + 383685188.

It is an arithmetic number, because the mean of its divisors is an integer number (183808548).

Almost surely, 2^52564861440 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 52564861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117637470720).

52564861440 is an abundant number, since it is smaller than the sum of its proper divisors (182710080000).

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

52564861440 is a wasteful number, since it uses less digits than its factorization.

52564861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 52564861440 in words is "fifty-two billion, five hundred sixty-four million, eight hundred sixty-one thousand, four hundred forty".