13630541116500 has 432 divisors, whose sum is σ = 54567491299776. Its totient is φ = 2832319728000.

The previous prime is 13630541116487. The next prime is 13630541116541. The reversal of 13630541116500 is 561114503631.

13630541116500 is a `hidden beast` number, since 1 + 3 + 6 + 30 + 5 + 4 + 1 + 116 + 500 = 666.

It is a super-2 number, since 2×13630541116500² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384342 + ... + 5235341.

It is an arithmetic number, because the mean of its divisors is an integer number (126313637268).

Almost surely, 2^{13630541116500} is an apocalyptic number.

13630541116500 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 13630541116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283745649888).

13630541116500 is an abundant number, since it is smaller than the sum of its proper divisors (40936950183276).

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

13630541116500 is a wasteful number, since it uses less digits than its factorization.

13630541116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619733 (or 5619711 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13630541116500 in words is "thirteen trillion, six hundred thirty billion, five hundred forty-one million, one hundred sixteen thousand, five hundred".