52317728305920 has 3456 divisors, whose sum is σ = 260886055772160. Its totient is φ = 9691787427840.

The previous prime is 52317728305867. The next prime is 52317728305991. The reversal of 52317728305920 is 2950382771325.

52317728305920 is a `hidden beast` number, since 5 + 2 + 3 + 17 + 7 + 2 + 8 + 30 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7735872459 + ... + 7735879221.

It is an arithmetic number, because the mean of its divisors is an integer number (75487863360).

Almost surely, 2^{52317728305920} 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 52317728305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130443027886080).

52317728305920 is an abundant number, since it is smaller than the sum of its proper divisors (208568327466240).

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

52317728305920 is a wasteful number, since it uses less digits than its factorization.

52317728305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 52317728305920 in words is "fifty-two trillion, three hundred seventeen billion, seven hundred twenty-eight million, three hundred five thousand, nine hundred twenty".