13613413699800 has 576 divisors, whose sum is σ = 47994094118880. Its totient is φ = 3585922928640.

The previous prime is 13613413699783. The next prime is 13613413699801. The reversal of 13613413699800 is 899631431631.

13613413699800 is a `hidden beast` number, since 1 + 3 + 61 + 3 + 413 + 6 + 99 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13613413699801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1320019444 + ... + 1320029756.

Almost surely, 2^{13613413699800} is an apocalyptic number.

13613413699800 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 13613413699800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23997047059440).

13613413699800 is an abundant number, since it is smaller than the sum of its proper divisors (34380680419080).

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

13613413699800 is a wasteful number, since it uses less digits than its factorization.

13613413699800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13613413699800 in words is "thirteen trillion, six hundred thirteen billion, four hundred thirteen million, six hundred ninety-nine thousand, eight hundred".