52242561502560 has 768 divisors, whose sum is σ = 216716879877120. Its totient is φ = 11587170631680.

The previous prime is 52242561502553. The next prime is 52242561502561. The reversal of 52242561502560 is 6520516524225.

52242561502560 is a `hidden beast` number, since 5 + 2 + 2 + 4 + 2 + 5 + 615 + 0 + 25 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52242561502561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69432687 + ... + 70181073.

It is an arithmetic number, because the mean of its divisors is an integer number (282183437340).

Almost surely, 2^{52242561502560} 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 52242561502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108358439938560).

52242561502560 is an abundant number, since it is smaller than the sum of its proper divisors (164474318374560).

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

52242561502560 is a wasteful number, since it uses less digits than its factorization.

52242561502560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748548 (or 748534 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 52242561502560 in words is "fifty-two trillion, two hundred forty-two billion, five hundred sixty-one million, five hundred two thousand, five hundred sixty".