252192176530140 has 768 divisors, whose sum is σ = 914125956710400. Its totient is φ = 51488196480000.

The previous prime is 252192176530123. The next prime is 252192176530171. The reversal of 252192176530140 is 41035671291252.

It is a self number, because there is not a number n which added to its sum of digits gives 252192176530140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4709356365 + ... + 4709409915.

It is an arithmetic number, because the mean of its divisors is an integer number (1190268172800).

Almost surely, 2^{252192176530140} is an apocalyptic number.

252192176530140 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 252192176530140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457062978355200).

252192176530140 is an abundant number, since it is smaller than the sum of its proper divisors (661933780180260).

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

252192176530140 is a wasteful number, since it uses less digits than its factorization.

252192176530140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53959 (or 53943 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 252192176530140 in words is "two hundred fifty-two trillion, one hundred ninety-two billion, one hundred seventy-six million, five hundred thirty thousand, one hundred forty".