252827317928640 has 896 divisors, whose sum is σ = 1003520250593280. Its totient is φ = 52506703872000.

The previous prime is 252827317928579. The next prime is 252827317928651. The reversal of 252827317928640 is 46829713728252.

252827317928640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3839351715 + ... + 3839417565.

It is an arithmetic number, because the mean of its divisors is an integer number (1120000279680).

It is a 1-persistent number, because it is pandigital, but 2⋅252827317928640 = 505654635857280 is not.

Almost surely, 2^{252827317928640} is an apocalyptic number.

252827317928640 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 252827317928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501760125296640).

252827317928640 is an abundant number, since it is smaller than the sum of its proper divisors (750692932664640).

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

252827317928640 is a wasteful number, since it uses less digits than its factorization.

252827317928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66581 (or 66571 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 252827317928640 in words is "two hundred fifty-two trillion, eight hundred twenty-seven billion, three hundred seventeen million, nine hundred twenty-eight thousand, six hundred forty".