13096366156800 has 660 divisors, whose sum is σ = 49677414488856. Its totient is φ = 3407162572800.

The previous prime is 13096366156771. The next prime is 13096366156801. The reversal of 13096366156800 is 865166369031.

13096366156800 is a `hidden beast` number, since 13 + 0 + 9 + 6 + 3 + 6 + 61 + 568 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13096366156801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84940579 + ... + 85094621.

Almost surely, 2^{13096366156800} is an apocalyptic number.

13096366156800 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 13096366156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838707244428).

13096366156800 is an abundant number, since it is smaller than the sum of its proper divisors (36581048332056).

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

13096366156800 is a wasteful number, since it uses less digits than its factorization.

13096366156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154126 (or 154094 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13096366156800 in words is "thirteen trillion, ninety-six billion, three hundred sixty-six million, one hundred fifty-six thousand, eight hundred".