18751138240 has 168 divisors, whose sum is σ = 47911524192. Its totient is φ = 6976696320.

The previous prime is 18751138223. The next prime is 18751138291. The reversal of 18751138240 is 4283115781.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18751138193 and 18751138202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10074910 + ... + 10076770.

It is an arithmetic number, because the mean of its divisors is an integer number (285187644).

Almost surely, 2^18751138240 is an apocalyptic number.

18751138240 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 18751138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955762096).

18751138240 is an abundant number, since it is smaller than the sum of its proper divisors (29160385952).

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

18751138240 is a wasteful number, since it uses less digits than its factorization.

18751138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 18751138240 in words is "eighteen billion, seven hundred fifty-one million, one hundred thirty-eight thousand, two hundred forty".