252738835200 has 432 divisors, whose sum is σ = 932059094400. Its totient is φ = 67012300800.

The previous prime is 252738835159. The next prime is 252738835211. The reversal of 252738835200 is 2538837252.

252738835200 is a `hidden beast` number, since 2 + 52 + 73 + 8 + 8 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30927115 + ... + 30935285.

It is an arithmetic number, because the mean of its divisors is an integer number (2157544200).

Almost surely, 2^252738835200 is an apocalyptic number.

252738835200 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 252738835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466029547200).

252738835200 is an abundant number, since it is smaller than the sum of its proper divisors (679320259200).

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

252738835200 is a wasteful number, since it uses less digits than its factorization.

252738835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 252738835200 in words is "two hundred fifty-two billion, seven hundred thirty-eight million, eight hundred thirty-five thousand, two hundred".