18859185072 has 480 divisors, whose sum is σ = 71403763200. Its totient is φ = 4710763008.

The previous prime is 18859185071. The next prime is 18859185077. The reversal of 18859185072 is 27058195881.

18859185072 is a `hidden beast` number, since 1 + 88 + 59 + 1 + 8 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18859185071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226693 + ... + 5230299.

It is an arithmetic number, because the mean of its divisors is an integer number (148757840).

Almost surely, 2^18859185072 is an apocalyptic number.

18859185072 is a gapful number since it is divisible by the number (12) 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 18859185072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35701881600).

18859185072 is an abundant number, since it is smaller than the sum of its proper divisors (52544578128).

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

18859185072 is a wasteful number, since it uses less digits than its factorization.

18859185072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 18859185072 in words is "eighteen billion, eight hundred fifty-nine million, one hundred eighty-five thousand, seventy-two".