21673695960 has 256 divisors, whose sum is σ = 86912640000. Its totient is φ = 4693220352.

The previous prime is 21673695937. The next prime is 21673695997. The reversal of 21673695960 is 6959637612.

21673695960 is a `hidden beast` number, since 2 + 16 + 7 + 36 + 9 + 596 + 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 = 21673695897 and 21673695906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68196 + ... + 219084.

It is an arithmetic number, because the mean of its divisors is an integer number (339502500).

Almost surely, 2^21673695960 is an apocalyptic number.

21673695960 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 21673695960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456320000).

21673695960 is an abundant number, since it is smaller than the sum of its proper divisors (65238944040).

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

21673695960 is a wasteful number, since it uses less digits than its factorization.

21673695960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150935 (or 150925 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 21673695960 in words is "twenty-one billion, six hundred seventy-three million, six hundred ninety-five thousand, nine hundred sixty".