252728985600 has 2304 divisors, whose sum is σ = 1194298560000. Its totient is φ = 52022476800.

The previous prime is 252728985569. The next prime is 252728985637. The reversal of 252728985600 is 6589827252.

It is a happy number.

252728985600 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 28 + 9 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6164121580 + ... + 6164121620.

It is an arithmetic number, because the mean of its divisors is an integer number (518358750).

Almost surely, 2^252728985600 is an apocalyptic number.

252728985600 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 252728985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280000).

252728985600 is an abundant number, since it is smaller than the sum of its proper divisors (941569574400).

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

252728985600 is a wasteful number, since it uses less digits than its factorization.

252728985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 252728985600 in words is "two hundred fifty-two billion, seven hundred twenty-eight million, nine hundred eighty-five thousand, six hundred".