18129716400 has 240 divisors, whose sum is σ = 61276435200. Its totient is φ = 4569338880.

The previous prime is 18129716393. The next prime is 18129716441. The reversal of 18129716400 is 461792181.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14750986 + ... + 14752214.

It is an arithmetic number, because the mean of its divisors is an integer number (255318480).

Almost surely, 2^18129716400 is an apocalyptic number.

18129716400 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 18129716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638217600).

18129716400 is an abundant number, since it is smaller than the sum of its proper divisors (43146718800).

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

18129716400 is a wasteful number, since it uses less digits than its factorization.

18129716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 18129716400 in words is "eighteen billion, one hundred twenty-nine million, seven hundred sixteen thousand, four hundred".