20671418880 has 480 divisors, whose sum is σ = 83082789504. Its totient is φ = 4651941888.

The previous prime is 20671418857. The next prime is 20671418891. The reversal of 20671418880 is 8881417602.

It is a tau number, because it is divible by the number of its divisors (480).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10804804 + ... + 10806716.

Almost surely, 2^20671418880 is an apocalyptic number.

20671418880 is a gapful number since it is divisible by the number (20) 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 20671418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41541394752).

20671418880 is an abundant number, since it is smaller than the sum of its proper divisors (62411370624).

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

20671418880 is a wasteful number, since it uses less digits than its factorization.

20671418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 20671418880 in words is "twenty billion, six hundred seventy-one million, four hundred eighteen thousand, eight hundred eighty".