52015120400 has 60 divisors (see below), whose sum is σ = 126072333012. Its totient is φ = 20621905920.

The previous prime is 52015120397. The next prime is 52015120457. The reversal of 52015120400 is 402151025.

It can be written as a sum of positive squares in 6 ways, for example, as 12590635264 + 39424485136 = 112208^2 + 198556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 530189 + ... + 620588.

Almost surely, 2^52015120400 is an apocalyptic number.

52015120400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52015120400 is an abundant number, since it is smaller than the sum of its proper divisors (74057212612).

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

52015120400 is a wasteful number, since it uses less digits than its factorization.

52015120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150908 (or 1150897 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 52015120400 its reverse (402151025), we get a palindrome (52417271425).

The spelling of 52015120400 in words is "fifty-two billion, fifteen million, one hundred twenty thousand, four hundred".