12552353056360 has 384 divisors, whose sum is σ = 31714579296000. Its totient is φ = 4466659811328.

The previous prime is 12552353056319. The next prime is 12552353056361. The reversal of 12552353056360 is 6365035325521.

It is a happy number.

It is a super-3 number, since 3×12552353056360³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12552353056360.

It is not an unprimeable number, because it can be changed into a prime (12552353056361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13658707981 + ... + 13658708899.

It is an arithmetic number, because the mean of its divisors is an integer number (82590050250).

Almost surely, 2^{12552353056360} is an apocalyptic number.

12552353056360 is a gapful number since it is divisible by the number (10) 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 12552353056360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857289648000).

12552353056360 is an abundant number, since it is smaller than the sum of its proper divisors (19162226239640).

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

12552353056360 is a wasteful number, since it uses less digits than its factorization.

12552353056360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 46.

The spelling of 12552353056360 in words is "twelve trillion, five hundred fifty-two billion, three hundred fifty-three million, fifty-six thousand, three hundred sixty".