21826896000 has 1024 divisors, whose sum is σ = 94097203200. Its totient is φ = 4346265600.

The previous prime is 21826895983. The next prime is 21826896011. The reversal of 21826896000 is 69862812.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82991869 + ... + 82992131.

It is an arithmetic number, because the mean of its divisors is an integer number (91891800).

Almost surely, 2^21826896000 is an apocalyptic number.

21826896000 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 21826896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47048601600).

21826896000 is an abundant number, since it is smaller than the sum of its proper divisors (72270307200).

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

21826896000 is a wasteful number, since it uses less digits than its factorization.

21826896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 21826896000 in words is "twenty-one billion, eight hundred twenty-six million, eight hundred ninety-six thousand".