20679881760 has 288 divisors, whose sum is σ = 74629900800. Its totient is φ = 5206118400.

The previous prime is 20679881749. The next prime is 20679881767. The reversal of 20679881760 is 6718897602.

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

It is a junction number, because it is equal to n+sod(n) for n = 20679881697 and 20679881706.

It is not an unprimeable number, because it can be changed into a prime (20679881767) 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, 1824591 + ... + 1835889.

It is an arithmetic number, because the mean of its divisors is an integer number (259131600).

Almost surely, 2^20679881760 is an apocalyptic number.

20679881760 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 20679881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37314950400).

20679881760 is an abundant number, since it is smaller than the sum of its proper divisors (53950019040).

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

20679881760 is a wasteful number, since it uses less digits than its factorization.

20679881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11381 counting only the distinct ones).

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

The spelling of 20679881760 in words is "twenty billion, six hundred seventy-nine million, eight hundred eighty-one thousand, seven hundred sixty".