52752490560 has 1008 divisors, whose sum is σ = 243925344000. Its totient is φ = 10311598080.

The previous prime is 52752490541. The next prime is 52752490579. The reversal of 52752490560 is 6509425725.

52752490560 is a `hidden beast` number, since 52 + 7 + 52 + 490 + 5 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (52752490541) and next prime (52752490579).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×52752490560² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 26388441 + ... + 26390439.

Almost surely, 2^52752490560 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 52752490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121962672000).

52752490560 is an abundant number, since it is smaller than the sum of its proper divisors (191172853440).

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

52752490560 is a wasteful number, since it uses less digits than its factorization.

52752490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 52752490560 in words is "fifty-two billion, seven hundred fifty-two million, four hundred ninety thousand, five hundred sixty".