13270118400 has 1404 divisors, whose sum is σ = 63220234896. Its totient is φ = 2595225600.

The previous prime is 13270118369. The next prime is 13270118419. The reversal of 13270118400 is 481107231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 780595192 + ... + 780595208.

Almost surely, 2^13270118400 is an apocalyptic number.

13270118400 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 13270118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610117448).

13270118400 is an abundant number, since it is smaller than the sum of its proper divisors (49950116496).

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

13270118400 is a wasteful number, since it uses less digits than its factorization.

13270118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 13270118400 in words is "thirteen billion, two hundred seventy million, one hundred eighteen thousand, four hundred".