252705506800 has 60 divisors (see below), whose sum is σ = 607179765736. Its totient is φ = 101073081600.

The previous prime is 252705506773. The next prime is 252705506803. The reversal of 252705506800 is 8605507252.

252705506800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252705506803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6003427 + ... + 6045373.

Almost surely, 2^252705506800 is an apocalyptic number.

252705506800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252705506800 is an abundant number, since it is smaller than the sum of its proper divisors (354474258936).

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

252705506800 is a wasteful number, since it uses less digits than its factorization.

252705506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57026 (or 57015 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 252705506800 in words is "two hundred fifty-two billion, seven hundred five million, five hundred six thousand, eight hundred".