252333801760 has 48 divisors (see below), whose sum is σ = 612250475256. Its totient is φ = 98205585408.

The previous prime is 252333801691. The next prime is 252333801793. The reversal of 252333801760 is 67108333252.

252333801760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181881778576 + 70452023184 = 426476^2 + 265428^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21306057 + ... + 21317896.

Almost surely, 2^252333801760 is an apocalyptic number.

252333801760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252333801760 is an abundant number, since it is smaller than the sum of its proper divisors (359916673496).

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

252333801760 is a wasteful number, since it uses less digits than its factorization.

252333801760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42624005 (or 42623997 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 252333801760 in words is "two hundred fifty-two billion, three hundred thirty-three million, eight hundred one thousand, seven hundred sixty".