13078195200 has 1320 divisors, whose sum is σ = 59706437472. Its totient is φ = 2760376320.

The previous prime is 13078195127. The next prime is 13078195201. The reversal of 13078195200 is 259187031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13078195201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246758374 + ... + 246758426.

Almost surely, 2^13078195200 is an apocalyptic number.

13078195200 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 13078195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29853218736).

13078195200 is an abundant number, since it is smaller than the sum of its proper divisors (46628242272).

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

13078195200 is a wasteful number, since it uses less digits than its factorization.

13078195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 13078195200 in words is "thirteen billion, seventy-eight million, one hundred ninety-five thousand, two hundred".