21719880000 has 1680 divisors, whose sum is σ = 104551032960. Its totient is φ = 4313088000.

The previous prime is 21719879957. The next prime is 21719880059. The reversal of 21719880000 is 8891712.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1277639992 + ... + 1277640008.

Almost surely, 2^21719880000 is an apocalyptic number.

21719880000 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 21719880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52275516480).

21719880000 is an abundant number, since it is smaller than the sum of its proper divisors (82831152960).

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

21719880000 is a wasteful number, since it uses less digits than its factorization.

21719880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 21719880000 in words is "twenty-one billion, seven hundred nineteen million, eight hundred eighty thousand".