18213800400 has 240 divisors, whose sum is σ = 65743470720. Its totient is φ = 4788403200.

The previous prime is 18213800399. The next prime is 18213800411. The reversal of 18213800400 is 400831281.

18213800400 is a `hidden beast` number, since 182 + 1 + 3 + 80 + 0 + 400 = 666.

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

It is a super-2 number, since 2×18213800400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 754924 + ... + 778676.

It is an arithmetic number, because the mean of its divisors is an integer number (273931128).

Almost surely, 2^18213800400 is an apocalyptic number.

18213800400 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 18213800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32871735360).

18213800400 is an abundant number, since it is smaller than the sum of its proper divisors (47529670320).

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

18213800400 is a wasteful number, since it uses less digits than its factorization.

18213800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23851 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18213800400 in words is "eighteen billion, two hundred thirteen million, eight hundred thousand, four hundred".