18126387720 has 288 divisors, whose sum is σ = 68789934720. Its totient is φ = 4127397120.

The previous prime is 18126387677. The next prime is 18126387731. The reversal of 18126387720 is 2778362181.

18126387720 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 638 + 7 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4990305 + ... + 4993935.

It is an arithmetic number, because the mean of its divisors is an integer number (238853940).

Almost surely, 2^18126387720 is an apocalyptic number.

18126387720 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 18126387720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34394967360).

18126387720 is an abundant number, since it is smaller than the sum of its proper divisors (50663547000).

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

18126387720 is a wasteful number, since it uses less digits than its factorization.

18126387720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18126387720 in words is "eighteen billion, one hundred twenty-six million, three hundred eighty-seven thousand, seven hundred twenty".