252086835400 has 192 divisors, whose sum is σ = 627659827200. Its totient is φ = 93989376000.

The previous prime is 252086835337. The next prime is 252086835491. The reversal of 252086835400 is 4538680252.

252086835400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20075524 + ... + 20088076.

It is an arithmetic number, because the mean of its divisors is an integer number (3269061600).

Almost surely, 2^252086835400 is an apocalyptic number.

252086835400 is a gapful number since it is divisible by the number (20) 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 252086835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313829913600).

252086835400 is an abundant number, since it is smaller than the sum of its proper divisors (375572991800).

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

252086835400 is a wasteful number, since it uses less digits than its factorization.

252086835400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12720 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 252086835400 in words is "two hundred fifty-two billion, eighty-six million, eight hundred thirty-five thousand, four hundred".