13096861747200 has 4608 divisors, whose sum is σ = 63955906560000. Its totient is φ = 2633637888000.

The previous prime is 13096861747141. The next prime is 13096861747217. The reversal of 13096861747200 is 274716869031.

13096861747200 is a `hidden beast` number, since 1 + 3 + 0 + 96 + 86 + 1 + 7 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 422479411185 + ... + 422479411215.

It is an arithmetic number, because the mean of its divisors is an integer number (13879320000).

Almost surely, 2^{13096861747200} is an apocalyptic number.

13096861747200 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 13096861747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977953280000).

13096861747200 is an abundant number, since it is smaller than the sum of its proper divisors (50859044812800).

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

13096861747200 is an frugal number, since it uses more digits than its factorization.

13096861747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13096861747200 in words is "thirteen trillion, ninety-six billion, eight hundred sixty-one million, seven hundred forty-seven thousand, two hundred".