252602580373360 has 1280 divisors, whose sum is σ = 744867020316672. Its totient is φ = 77727360614400.

The previous prime is 252602580373303. The next prime is 252602580373441. The reversal of 252602580373360 is 63373085206252.

It is a super-2 number, since 2×252602580373360² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252602580373298 and 252602580373307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1112786697567 + ... + 1112786697793.

Almost surely, 2^{252602580373360} is an apocalyptic number.

252602580373360 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 252602580373360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372433510158336).

252602580373360 is an abundant number, since it is smaller than the sum of its proper divisors (492264439943312).

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

252602580373360 is a wasteful number, since it uses less digits than its factorization.

252602580373360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 252602580373360 in words is "two hundred fifty-two trillion, six hundred two billion, five hundred eighty million, three hundred seventy-three thousand, three hundred sixty".