21868008960 has 640 divisors, whose sum is σ = 85480243200. Its totient is φ = 4658135040.

The previous prime is 21868008959. The next prime is 21868008971. The reversal of 21868008960 is 6980086812.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 80693625 + ... + 80693895.

It is an arithmetic number, because the mean of its divisors is an integer number (133562880).

Almost surely, 2^21868008960 is an apocalyptic number.

21868008960 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 21868008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42740121600).

21868008960 is an abundant number, since it is smaller than the sum of its proper divisors (63612234240).

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

21868008960 is a wasteful number, since it uses less digits than its factorization.

21868008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 21868008960 in words is "twenty-one billion, eight hundred sixty-eight million, eight thousand, nine hundred sixty".