18250250810400 has 864 divisors, whose sum is σ = 76381307533440. Its totient is φ = 4171259151360.

The previous prime is 18250250810299. The next prime is 18250250810413. The reversal of 18250250810400 is 401805205281.

18250250810400 is a `hidden beast` number, since 1 + 82 + 50 + 2 + 50 + 81 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992014002 + ... + 992032398.

Almost surely, 2^{18250250810400} is an apocalyptic number.

18250250810400 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 18250250810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38190653766720).

18250250810400 is an abundant number, since it is smaller than the sum of its proper divisors (58131056723040).

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

18250250810400 is an frugal number, since it uses more digits than its factorization.

18250250810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18457 (or 18414 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 18250250810400 in words is "eighteen trillion, two hundred fifty billion, two hundred fifty million, eight hundred ten thousand, four hundred".