52117281792 has 440 divisors, whose sum is σ = 164781207360. Its totient is φ = 16380887040.

The previous prime is 52117281773. The next prime is 52117281817. The reversal of 52117281792 is 29718271125.

52117281792 is a `hidden beast` number, since 521 + 1 + 7 + 28 + 17 + 92 = 666.

It is a super-2 number, since 2×52117281792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113052442 + ... + 113052902.

It is an arithmetic number, because the mean of its divisors is an integer number (374502744).

Almost surely, 2^52117281792 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 52117281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82390603680).

52117281792 is an abundant number, since it is smaller than the sum of its proper divisors (112663925568).

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

52117281792 is a wasteful number, since it uses less digits than its factorization.

52117281792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 542 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 52117281792 in words is "fifty-two billion, one hundred seventeen million, two hundred eighty-one thousand, seven hundred ninety-two".