13415322985200 has 1080 divisors, whose sum is σ = 51400199760000. Its totient is φ = 3230929658880.

The previous prime is 13415322985153. The next prime is 13415322985271. The reversal of 13415322985200 is 258922351431.

13415322985200 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 5 + 32 + 2 + 98 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18055616029 + ... + 18055616771.

Almost surely, 2^{13415322985200} is an apocalyptic number.

13415322985200 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 13415322985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700099880000).

13415322985200 is an abundant number, since it is smaller than the sum of its proper divisors (37984876774800).

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

13415322985200 is a wasteful number, since it uses less digits than its factorization.

13415322985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13415322985200 in words is "thirteen trillion, four hundred fifteen billion, three hundred twenty-two million, nine hundred eighty-five thousand, two hundred".