18875083680 has 288 divisors, whose sum is σ = 68355705600. Its totient is φ = 4726480896.

The previous prime is 18875083573. The next prime is 18875083687. The reversal of 18875083680 is 8638057881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (18875083687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20538261 + ... + 20539179.

It is an arithmetic number, because the mean of its divisors is an integer number (237346200).

Almost surely, 2^18875083680 is an apocalyptic number.

18875083680 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 18875083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34177852800).

18875083680 is an abundant number, since it is smaller than the sum of its proper divisors (49480621920).

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

18875083680 is a wasteful number, since it uses less digits than its factorization.

18875083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18875083680 in words is "eighteen billion, eight hundred seventy-five million, eighty-three thousand, six hundred eighty".