13196413231200 has 1152 divisors, whose sum is σ = 51721489612800. Its totient is φ = 3236605102080.

The previous prime is 13196413231171. The next prime is 13196413231283. The reversal of 13196413231200 is 213231469131.

13196413231200 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 6 + 413 + 2 + 31 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2449674907 + ... + 2449680293.

It is an arithmetic number, because the mean of its divisors is an integer number (44897126400).

Almost surely, 2^{13196413231200} is an apocalyptic number.

13196413231200 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 13196413231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25860744806400).

13196413231200 is an abundant number, since it is smaller than the sum of its proper divisors (38525076381600).

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

13196413231200 is a wasteful number, since it uses less digits than its factorization.

13196413231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13196413231200 in words is "thirteen trillion, one hundred ninety-six billion, four hundred thirteen million, two hundred thirty-one thousand, two hundred".