20998766880 has 1152 divisors, whose sum is σ = 93360024576. Its totient is φ = 4180377600.

The previous prime is 20998766837. The next prime is 20998766881. The reversal of 20998766880 is 8866789902.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20998766881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295757245 + ... + 295757315.

It is an arithmetic number, because the mean of its divisors is an integer number (81041688).

Almost surely, 2^20998766880 is an apocalyptic number.

20998766880 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 20998766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46680012288).

20998766880 is an abundant number, since it is smaller than the sum of its proper divisors (72361257696).

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

20998766880 is a wasteful number, since it uses less digits than its factorization.

20998766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 20998766880 in words is "twenty billion, nine hundred ninety-eight million, seven hundred sixty-six thousand, eight hundred eighty".