52315500948480 has 2112 divisors, whose sum is σ = 244572056322048. Its totient is φ = 10397674045440.

The previous prime is 52315500948449. The next prime is 52315500948493. The reversal of 52315500948480 is 8484900551325.

52315500948480 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 5 + 500 + 94 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×52315500948480² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 2203395489 + ... + 2203419231.

Almost surely, 2^{52315500948480} 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 52315500948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122286028161024).

52315500948480 is an abundant number, since it is smaller than the sum of its proper divisors (192256555373568).

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

52315500948480 is a wasteful number, since it uses less digits than its factorization.

52315500948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23824 (or 23794 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 52315500948480 in words is "fifty-two trillion, three hundred fifteen billion, five hundred million, nine hundred forty-eight thousand, four hundred eighty".