52212462400400 has 60 divisors (see below), whose sum is σ = 125483125076400. Its totient is φ = 20877878336640.

The previous prime is 52212462400379. The next prime is 52212462400421. The reversal of 52212462400400 is 400426421225.

52212462400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52212462400379) and next prime (52212462400421).

It is a super-2 number, since 2×52212462400400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21031130 + ... + 23382329.

It is an arithmetic number, because the mean of its divisors is an integer number (2091385417940).

Almost surely, 2^{52212462400400} is an apocalyptic number.

52212462400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52212462400400 is an abundant number, since it is smaller than the sum of its proper divisors (73270662676000).

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

52212462400400 is a wasteful number, since it uses less digits than its factorization.

52212462400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44416416 (or 44416405 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 52212462400400 its reverse (400426421225), we get a palindrome (52612888821625).

The spelling of 52212462400400 in words is "fifty-two trillion, two hundred twelve billion, four hundred sixty-two million, four hundred thousand, four hundred".