18726861875040 has 1152 divisors, whose sum is σ = 74443184524800. Its totient is φ = 4244280606720.

The previous prime is 18726861875017. The next prime is 18726861875041. The reversal of 18726861875040 is 4057816862781.

It is a happy number.

18726861875040 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 6 + 8 + 618 + 7 + 5 + 0 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18726861875041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1815844924 + ... + 1815855236.

It is an arithmetic number, because the mean of its divisors is an integer number (64620819900).

Almost surely, 2^{18726861875040} is an apocalyptic number.

18726861875040 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 18726861875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37221592262400).

18726861875040 is an abundant number, since it is smaller than the sum of its proper divisors (55716322649760).

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

18726861875040 is a wasteful number, since it uses less digits than its factorization.

18726861875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 18726861875040 in words is "eighteen trillion, seven hundred twenty-six billion, eight hundred sixty-one million, eight hundred seventy-five thousand, forty".