52312630526400 has 336 divisors, whose sum is σ = 179125645653504. Its totient is φ = 13340941701120.

The previous prime is 52312630526389. The next prime is 52312630526419. The reversal of 52312630526400 is 462503621325.

52312630526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52312630526400² (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610137934 + ... + 610223666.

Almost surely, 2^{52312630526400} is an apocalyptic number.

52312630526400 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 52312630526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89562822826752).

52312630526400 is an abundant number, since it is smaller than the sum of its proper divisors (126813015127104).

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

52312630526400 is a wasteful number, since it uses less digits than its factorization.

52312630526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91308 (or 91293 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 52312630526400 in words is "fifty-two trillion, three hundred twelve billion, six hundred thirty million, five hundred twenty-six thousand, four hundred".