18751140900 has 288 divisors, whose sum is σ = 62339760000. Its totient is φ = 4831948800.

The previous prime is 18751140887. The next prime is 18751140901. The reversal of 18751140900 is 904115781.

18751140900 is a `hidden beast` number, since 18 + 7 + 511 + 40 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18751140901) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12508351 + ... + 12509849.

It is an arithmetic number, because the mean of its divisors is an integer number (216457500).

Almost surely, 2^18751140900 is an apocalyptic number.

18751140900 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 18751140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880000).

18751140900 is an abundant number, since it is smaller than the sum of its proper divisors (43588619100).

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

18751140900 is a wasteful number, since it uses less digits than its factorization.

18751140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 18751140900 in words is "eighteen billion, seven hundred fifty-one million, one hundred forty thousand, nine hundred".