52116406272 has 270 divisors, whose sum is σ = 175158423258. Its totient is φ = 14888337408.

The previous prime is 52116406241. The next prime is 52116406289. The reversal of 52116406272 is 27260461125.

It is a happy number.

52116406272 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 640 + 6 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49775394816 + 2341011456 = 223104^2 + 48384^2 .

It is a super-2 number, since 2×52116406272² (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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7221738 + ... + 7228950.

Almost surely, 2^52116406272 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 52116406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87579211629).

52116406272 is an abundant number, since it is smaller than the sum of its proper divisors (123042016986).

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

52116406272 is an equidigital number, since it uses as much as digits as its factorization.

52116406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 52116406272 its reverse (27260461125), we get a palindrome (79376867397).

The spelling of 52116406272 in words is "fifty-two billion, one hundred sixteen million, four hundred six thousand, two hundred seventy-two".