252386104320 has 1056 divisors, whose sum is σ = 1033961250816. Its totient is φ = 55738368000.

The previous prime is 252386104283. The next prime is 252386104339. The reversal of 252386104320 is 23401683252.

252386104320 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 8 + 610 + 4 + 32 + 0 = 666.

252386104320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987292097 + ... + 1987292223.

Almost surely, 2^252386104320 is an apocalyptic number.

252386104320 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 252386104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516980625408).

252386104320 is an abundant number, since it is smaller than the sum of its proper divisors (781575146496).

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

252386104320 is a wasteful number, since it uses less digits than its factorization.

252386104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 252386104320 its reverse (23401683252), we get a palindrome (275787787572).

The spelling of 252386104320 in words is "two hundred fifty-two billion, three hundred eighty-six million, one hundred four thousand, three hundred twenty".