52422534400 has 324 divisors, whose sum is σ = 139178709180. Its totient is φ = 19514163200.

The previous prime is 52422534389. The next prime is 52422534443. The reversal of 52422534400 is 443522425.

It can be written as a sum of positive squares in 6 ways, for example, as 8396423424 + 44026110976 = 91632^2 + 209824^2 .

It is a super-2 number, since 2×52422534400² (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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631596759 + ... + 631596841.

Almost surely, 2^52422534400 is an apocalyptic number.

52422534400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52422534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69589354590).

52422534400 is an abundant number, since it is smaller than the sum of its proper divisors (86756174780).

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

52422534400 is an equidigital number, since it uses as much as digits as its factorization.

52422534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The spelling of 52422534400 in words is "fifty-two billion, four hundred twenty-two million, five hundred thirty-four thousand, four hundred".