252806803200 has 648 divisors, whose sum is σ = 1047628947456. Its totient is φ = 56964096000.

The previous prime is 252806803181. The next prime is 252806803201. The reversal of 252806803200 is 2308608252.

252806803200 is a `hidden beast` number, since 252 + 8 + 0 + 6 + 80 + 320 + 0 = 666.

It is a super-2 number, since 2×252806803200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252806803201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28622785 + ... + 28631615.

Almost surely, 2^252806803200 is an apocalyptic number.

252806803200 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 252806803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523814473728).

252806803200 is an abundant number, since it is smaller than the sum of its proper divisors (794822144256).

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

252806803200 is a wasteful number, since it uses less digits than its factorization.

252806803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8941 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 252806803200 in words is "two hundred fifty-two billion, eight hundred six million, eight hundred three thousand, two hundred".