52615131064320 has 768 divisors, whose sum is σ = 185842492093440. Its totient is φ = 12707316695040.

The previous prime is 52615131064289. The next prime is 52615131064343. The reversal of 52615131064320 is 2346013151625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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, 11571392287 + ... + 11571396833.

It is an arithmetic number, because the mean of its divisors is an integer number (241982411580).

Almost surely, 2^{52615131064320} 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 52615131064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92921246046720).

52615131064320 is an abundant number, since it is smaller than the sum of its proper divisors (133227361029120).

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

52615131064320 is a wasteful number, since it uses less digits than its factorization.

52615131064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 52615131064320 in words is "fifty-two trillion, six hundred fifteen billion, one hundred thirty-one million, sixty-four thousand, three hundred twenty".