252073054200 has 192 divisors, whose sum is σ = 852752563200. Its totient is φ = 61088025600.

The previous prime is 252073054199. The next prime is 252073054217. The reversal of 252073054200 is 2450370252.

It is a super-2 number, since 2×252073054200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 30613284 + ... + 30621516.

It is an arithmetic number, because the mean of its divisors is an integer number (4441419600).

Almost surely, 2^252073054200 is an apocalyptic number.

252073054200 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 252073054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426376281600).

252073054200 is an abundant number, since it is smaller than the sum of its proper divisors (600679509000).

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

252073054200 is a wasteful number, since it uses less digits than its factorization.

252073054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The spelling of 252073054200 in words is "two hundred fifty-two billion, seventy-three million, fifty-four thousand, two hundred".