52972408400 has 60 divisors (see below), whose sum is σ = 128696255100. Its totient is φ = 20950871040.

The previous prime is 52972408351. The next prime is 52972408421. The reversal of 52972408400 is 480427925.

It can be written as a sum of positive squares in 6 ways, for example, as 17063674384 + 35908734016 = 130628^2 + 189496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708395 + ... + 779594.

It is an arithmetic number, because the mean of its divisors is an integer number (2144937585).

Almost surely, 2^52972408400 is an apocalyptic number.

52972408400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52972408400 is an abundant number, since it is smaller than the sum of its proper divisors (75723846700).

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

52972408400 is a wasteful number, since it uses less digits than its factorization.

52972408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488096 (or 1488085 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 52972408400 in words is "fifty-two billion, nine hundred seventy-two million, four hundred eight thousand, four hundred".