18276187849920 has 5376 divisors, whose sum is σ = 94324646707200. Its totient is φ = 3121667112960.

The previous prime is 18276187849873. The next prime is 18276187849957. The reversal of 18276187849920 is 2994878167281.

18276187849920 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 61 + 8 + 78 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 112123851759 + ... + 112123851921.

It is an arithmetic number, because the mean of its divisors is an integer number (17545507200).

Almost surely, 2^{18276187849920} is an apocalyptic number.

18276187849920 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 18276187849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47162323353600).

18276187849920 is an abundant number, since it is smaller than the sum of its proper divisors (76048458857280).

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

18276187849920 is a wasteful number, since it uses less digits than its factorization.

18276187849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 18276187849920 in words is "eighteen trillion, two hundred seventy-six billion, one hundred eighty-seven million, eight hundred forty-nine thousand, nine hundred twenty".