18106675200 has 780 divisors, whose sum is σ = 70051725480. Its totient is φ = 4618321920.

The previous prime is 18106675199. The next prime is 18106675243. The reversal of 18106675200 is 257660181.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 306892771 + ... + 306892829.

Almost surely, 2^18106675200 is an apocalyptic number.

18106675200 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 18106675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35025862740).

18106675200 is an abundant number, since it is smaller than the sum of its proper divisors (51945050280).

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

18106675200 is an equidigital number, since it uses as much as digits as its factorization.

18106675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 18106675200 in words is "eighteen billion, one hundred six million, six hundred seventy-five thousand, two hundred".