20818967960 has 256 divisors, whose sum is σ = 57153945600. Its totient is φ = 6671808000.

The previous prime is 20818967957. The next prime is 20818967989. The reversal of 20818967960 is 6976981802.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 20818967896 and 20818967905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76822625 + ... + 76822895.

It is an arithmetic number, because the mean of its divisors is an integer number (223257600).

Almost surely, 2^20818967960 is an apocalyptic number.

20818967960 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 20818967960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576972800).

20818967960 is an abundant number, since it is smaller than the sum of its proper divisors (36334977640).

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

20818967960 is a wasteful number, since it uses less digits than its factorization.

20818967960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The spelling of 20818967960 in words is "twenty billion, eight hundred eighteen million, nine hundred sixty-seven thousand, nine hundred sixty".