252788865120 has 768 divisors, whose sum is σ = 1003592540160. Its totient is φ = 58873651200.

The previous prime is 252788865113. The next prime is 252788865211. The reversal of 252788865120 is 21568887252.

252788865120 is a `hidden beast` number, since 2 + 52 + 78 + 8 + 8 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×252788865120² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 231279294 + ... + 231280386.

It is an arithmetic number, because the mean of its divisors is an integer number (1306761120).

Almost surely, 2^252788865120 is an apocalyptic number.

252788865120 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 252788865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501796270080).

252788865120 is an abundant number, since it is smaller than the sum of its proper divisors (750803675040).

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

252788865120 is a wasteful number, since it uses less digits than its factorization.

252788865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 252788865120 in words is "two hundred fifty-two billion, seven hundred eighty-eight million, eight hundred sixty-five thousand, one hundred twenty".