20869954560 has 1320 divisors, whose sum is σ = 94874028480. Its totient is φ = 4347592704.

The previous prime is 20869954517. The next prime is 20869954591. The reversal of 20869954560 is 6545996802.

It is a happy number.

20869954560 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 99 + 545 + 6 + 0 = 666.

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 = 20869954497 and 20869954506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264176601 + ... + 264176679.

It is an arithmetic number, because the mean of its divisors is an integer number (71874264).

Almost surely, 2^20869954560 is an apocalyptic number.

20869954560 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 20869954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437014240).

20869954560 is an abundant number, since it is smaller than the sum of its proper divisors (74004073920).

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

20869954560 is a wasteful number, since it uses less digits than its factorization.

20869954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 20869954560 in words is "twenty billion, eight hundred sixty-nine million, nine hundred fifty-four thousand, five hundred sixty".