52314314400 has 144 divisors (see below), whose sum is σ = 189203515200. Its totient is φ = 13950478080.

The previous prime is 52314314389. The next prime is 52314314419. The reversal of 52314314400 is 441341325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52314314400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189380 + ... + 1232579.

It is an arithmetic number, because the mean of its divisors is an integer number (1313913300).

Almost surely, 2^52314314400 is an apocalyptic number.

52314314400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52314314400 is an abundant number, since it is smaller than the sum of its proper divisors (136889200800).

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

52314314400 is a wasteful number, since it uses less digits than its factorization.

52314314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421988 (or 2421969 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 52314314400 its reverse (441341325), we get a palindrome (52755655725).

The spelling of 52314314400 in words is "fifty-two billion, three hundred fourteen million, three hundred fourteen thousand, four hundred".