18227850710400 has 288 divisors, whose sum is σ = 65275982709600. Its totient is φ = 4843210199040.

The previous prime is 18227850710369. The next prime is 18227850710411. The reversal of 18227850710400 is 401705872281.

18227850710400 is a `hidden beast` number, since 1 + 8 + 22 + 78 + 507 + 10 + 40 + 0 = 666.

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 (45).

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 35 ways as a sum of consecutive naturals, for example, 6835161 + ... + 9120039.

Almost surely, 2^{18227850710400} is an apocalyptic number.

18227850710400 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 18227850710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637991354800).

18227850710400 is an abundant number, since it is smaller than the sum of its proper divisors (47048131999200).

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

18227850710400 is a wasteful number, since it uses less digits than its factorization.

18227850710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285186 (or 2285166 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 18227850710400 in words is "eighteen trillion, two hundred twenty-seven billion, eight hundred fifty million, seven hundred ten thousand, four hundred".