20959618680 has 768 divisors, whose sum is σ = 93405312000. Its totient is φ = 4016839680.

The previous prime is 20959618639. The next prime is 20959618681. The reversal of 20959618680 is 8681695902.

It is a happy number.

It is a super-2 number, since 2×20959618680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20959618681) 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, 17657047 + ... + 17658233.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^20959618680 is an apocalyptic number.

20959618680 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 20959618680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656000).

20959618680 is an abundant number, since it is smaller than the sum of its proper divisors (72445693320).

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

20959618680 is a wasteful number, since it uses less digits than its factorization.

20959618680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 20959618680 in words is "twenty billion, nine hundred fifty-nine million, six hundred eighteen thousand, six hundred eighty".