18285350400 has 480 divisors, whose sum is σ = 67744042080. Its totient is φ = 4830658560.

The previous prime is 18285350389. The next prime is 18285350443. The reversal of 18285350400 is 405358281.

It is a happy number.

18285350400 is a `hidden beast` number, since 1 + 82 + 8 + 535 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54259032 + ... + 54259368.

It is an arithmetic number, because the mean of its divisors is an integer number (141133421).

Almost surely, 2^18285350400 is an apocalyptic number.

18285350400 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 18285350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33872021040).

18285350400 is an abundant number, since it is smaller than the sum of its proper divisors (49458691680).

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

18285350400 is a wasteful number, since it uses less digits than its factorization.

18285350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 18285350400 in words is "eighteen billion, two hundred eighty-five million, three hundred fifty thousand, four hundred".