18131762880 has 504 divisors, whose sum is σ = 78354241056. Its totient is φ = 3767132160.

The previous prime is 18131762863. The next prime is 18131762903. The reversal of 18131762880 is 8826713181.

It is a happy number.

18131762880 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 17 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 71 ways as a sum of consecutive naturals, for example, 2435644 + ... + 2443076.

It is an arithmetic number, because the mean of its divisors is an integer number (155464764).

Almost surely, 2^18131762880 is an apocalyptic number.

18131762880 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 18131762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39177120528).

18131762880 is an abundant number, since it is smaller than the sum of its proper divisors (60222478176).

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

18131762880 is a wasteful number, since it uses less digits than its factorization.

18131762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 18131762880 in words is "eighteen billion, one hundred thirty-one million, seven hundred sixty-two thousand, eight hundred eighty".