13111956093600 has 1728 divisors, whose sum is σ = 58935107911680. Its totient is φ = 2668424601600.

The previous prime is 13111956093547. The next prime is 13111956093637. The reversal of 13111956093600 is 639065911131.

13111956093600 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 9 + 5 + 609 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7454209521 + ... + 7454211279.

Almost surely, 2^{13111956093600} is an apocalyptic number.

13111956093600 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 13111956093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467553955840).

13111956093600 is an abundant number, since it is smaller than the sum of its proper divisors (45823151818080).

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

13111956093600 is a wasteful number, since it uses less digits than its factorization.

13111956093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 13111956093600 in words is "thirteen trillion, one hundred eleven billion, nine hundred fifty-six million, ninety-three thousand, six hundred".