18001850400 has 288 divisors, whose sum is σ = 65518931520. Its totient is φ = 4770109440.

The previous prime is 18001850393. The next prime is 18001850407. The reversal of 18001850400 is 405810081.

18001850400 is a `hidden beast` number, since 1 + 80 + 0 + 185 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (18001850393) and next prime (18001850407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (18001850407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518244 + ... + 3523356.

It is an arithmetic number, because the mean of its divisors is an integer number (227496290).

Almost surely, 2^18001850400 is an apocalyptic number.

18001850400 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 18001850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32759465760).

18001850400 is an abundant number, since it is smaller than the sum of its proper divisors (47517081120).

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

18001850400 is a wasteful number, since it uses less digits than its factorization.

18001850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 18001850400 in words is "eighteen billion, one million, eight hundred fifty thousand, four hundred".