18938140200 has 960 divisors, whose sum is σ = 80503061760. Its totient is φ = 4032737280.

The previous prime is 18938140189. The next prime is 18938140201. The reversal of 18938140200 is 204183981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18938140201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 138234532 + ... + 138234668.

It is an arithmetic number, because the mean of its divisors is an integer number (83857356).

Almost surely, 2^18938140200 is an apocalyptic number.

18938140200 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 18938140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40251530880).

18938140200 is an abundant number, since it is smaller than the sum of its proper divisors (61564921560).

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

18938140200 is a wasteful number, since it uses less digits than its factorization.

18938140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18938140200 in words is "eighteen billion, nine hundred thirty-eight million, one hundred forty thousand, two hundred".