52507768320 has 640 divisors, whose sum is σ = 217786060800. Its totient is φ = 11741331456.

The previous prime is 52507768297. The next prime is 52507768321. The reversal of 52507768320 is 2386770525.

52507768320 is a `hidden beast` number, since 5 + 250 + 7 + 76 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (52507768321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22739326 + ... + 22741634.

It is an arithmetic number, because the mean of its divisors is an integer number (340290720).

Almost surely, 2^52507768320 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 52507768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

52507768320 is an abundant number, since it is smaller than the sum of its proper divisors (165278292480).

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

52507768320 is a wasteful number, since it uses less digits than its factorization.

52507768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 52507768320 in words is "fifty-two billion, five hundred seven million, seven hundred sixty-eight thousand, three hundred twenty".