21719514960 has 720 divisors, whose sum is σ = 89504146368. Its totient is φ = 4852224000.

The previous prime is 21719514913. The next prime is 21719514967. The reversal of 21719514960 is 6941591712.

21719514960 is a `hidden beast` number, since 2 + 1 + 71 + 9 + 514 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21719514967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36138660 + ... + 36139260.

Almost surely, 2^21719514960 is an apocalyptic number.

21719514960 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 21719514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44752073184).

21719514960 is an abundant number, since it is smaller than the sum of its proper divisors (67784631408).

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

21719514960 is a wasteful number, since it uses less digits than its factorization.

21719514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 21719514960 in words is "twenty-one billion, seven hundred nineteen million, five hundred fourteen thousand, nine hundred sixty".