21965549760 has 896 divisors, whose sum is σ = 97719367680. Its totient is φ = 4512153600.

The previous prime is 21965549743. The next prime is 21965549783. The reversal of 21965549760 is 6794556912.

21965549760 is a `hidden beast` number, since 2 + 1 + 96 + 5 + 5 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21965549697 and 21965549706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91143240 + ... + 91143480.

Almost surely, 2^21965549760 is an apocalyptic number.

21965549760 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 21965549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48859683840).

21965549760 is an abundant number, since it is smaller than the sum of its proper divisors (75753817920).

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

21965549760 is a wasteful number, since it uses less digits than its factorization.

21965549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 21965549760 in words is "twenty-one billion, nine hundred sixty-five million, five hundred forty-nine thousand, seven hundred sixty".