52916613120 has 1248 divisors, whose sum is σ = 228981043200. Its totient is φ = 11705057280.

The previous prime is 52916613109. The next prime is 52916613131. The reversal of 52916613120 is 2131661925.

52916613120 is a `hidden beast` number, since 5 + 2 + 9 + 16 + 613 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (52916613109) and next prime (52916613131).

It is a super-2 number, since 2×52916613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706987505 + ... + 1706987535.

It is an arithmetic number, because the mean of its divisors is an integer number (183478400).

Almost surely, 2^52916613120 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 52916613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114490521600).

52916613120 is an abundant number, since it is smaller than the sum of its proper divisors (176064430080).

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

52916613120 is an frugal number, since it uses more digits than its factorization.

52916613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 52916613120 in words is "fifty-two billion, nine hundred sixteen million, six hundred thirteen thousand, one hundred twenty".