20889776160 has 576 divisors, whose sum is σ = 80243654400. Its totient is φ = 4905738240.

The previous prime is 20889776153. The next prime is 20889776189. The reversal of 20889776160 is 6167798802.

It is a junction number, because it is equal to n+sod(n) for n = 20889776097 and 20889776106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125088397 + ... + 125088563.

It is an arithmetic number, because the mean of its divisors is an integer number (139311900).

Almost surely, 2^20889776160 is an apocalyptic number.

20889776160 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 20889776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40121827200).

20889776160 is an abundant number, since it is smaller than the sum of its proper divisors (59353878240).

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

20889776160 is a wasteful number, since it uses less digits than its factorization.

20889776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 20889776160 in words is "twenty billion, eight hundred eighty-nine million, seven hundred seventy-six thousand, one hundred sixty".