21958896960 has 896 divisors, whose sum is σ = 104051404800. Its totient is φ = 4210237440.

The previous prime is 21958896943. The next prime is 21958897007. The reversal of 21958896960 is 6969885912.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8647371 + ... + 8649909.

It is an arithmetic number, because the mean of its divisors is an integer number (116128800).

Almost surely, 2^21958896960 is an apocalyptic number.

21958896960 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 21958896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52025702400).

21958896960 is an abundant number, since it is smaller than the sum of its proper divisors (82092507840).

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

21958896960 is a wasteful number, since it uses less digits than its factorization.

21958896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 21958896960 in words is "twenty-one billion, nine hundred fifty-eight million, eight hundred ninety-six thousand, nine hundred sixty".