20779688160 has 864 divisors, whose sum is σ = 92523465216. Its totient is φ = 4311014400.

The previous prime is 20779688147. The next prime is 20779688173. The reversal of 20779688160 is 6188697702.

It is an interprime number because it is at equal distance from previous prime (20779688147) and next prime (20779688173).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20779688097 and 20779688106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32931045 + ... + 32931675.

It is an arithmetic number, because the mean of its divisors is an integer number (107087344).

Almost surely, 2^20779688160 is an apocalyptic number.

20779688160 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 20779688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46261732608).

20779688160 is an abundant number, since it is smaller than the sum of its proper divisors (71743777056).

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

20779688160 is a wasteful number, since it uses less digits than its factorization.

20779688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 659 counting only the distinct ones).

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

The spelling of 20779688160 in words is "twenty billion, seven hundred seventy-nine million, six hundred eighty-eight thousand, one hundred sixty".