52420642560 has 576 divisors, whose sum is σ = 218562140160. Its totient is φ = 11729387520.

The previous prime is 52420642543. The next prime is 52420642613. The reversal of 52420642560 is 6524602425.

52420642560 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 0 + 642 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4936777 + ... + 4947383.

It is an arithmetic number, because the mean of its divisors is an integer number (379448160).

Almost surely, 2^52420642560 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 52420642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109281070080).

52420642560 is an abundant number, since it is smaller than the sum of its proper divisors (166141497600).

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

52420642560 is a wasteful number, since it uses less digits than its factorization.

52420642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10661 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52420642560 in words is "fifty-two billion, four hundred twenty million, six hundred forty-two thousand, five hundred sixty".