18070945200 has 1080 divisors, whose sum is σ = 81350418240. Its totient is φ = 3672345600.

The previous prime is 18070945199. The next prime is 18070945219. The reversal of 18070945200 is 254907081.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130006731 + ... + 130006869.

Almost surely, 2^18070945200 is an apocalyptic number.

18070945200 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 18070945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675209120).

18070945200 is an abundant number, since it is smaller than the sum of its proper divisors (63279473040).

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

18070945200 is a wasteful number, since it uses less digits than its factorization.

18070945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

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

The spelling of 18070945200 in words is "eighteen billion, seventy million, nine hundred forty-five thousand, two hundred".