20872028160 has 448 divisors, whose sum is σ = 75445680960. Its totient is φ = 5541986304.

The previous prime is 20872028147. The next prime is 20872028167. The reversal of 20872028160 is 6182027802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20872028167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89579404 + ... + 89579636.

Almost surely, 2^20872028160 is an apocalyptic number.

20872028160 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 20872028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37722840480).

20872028160 is an abundant number, since it is smaller than the sum of its proper divisors (54573652800).

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

20872028160 is an frugal number, since it uses more digits than its factorization.

20872028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20872028160 in words is "twenty billion, eight hundred seventy-two million, twenty-eight thousand, one hundred sixty".