13638415500 has 240 divisors, whose sum is σ = 44713468800. Its totient is φ = 3619123200.

The previous prime is 13638415499. The next prime is 13638415537. The reversal of 13638415500 is 551483631.

13638415500 is a `hidden beast` number, since 1 + 3 + 63 + 8 + 41 + 550 + 0 = 666.

13638415500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9678796 + ... + 9680204.

It is an arithmetic number, because the mean of its divisors is an integer number (186306120).

Almost surely, 2^13638415500 is an apocalyptic number.

13638415500 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 13638415500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356734400).

13638415500 is an abundant number, since it is smaller than the sum of its proper divisors (31075053300).

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

13638415500 is a wasteful number, since it uses less digits than its factorization.

13638415500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13638415500 in words is "thirteen billion, six hundred thirty-eight million, four hundred fifteen thousand, five hundred".