21965045760 has 720 divisors, whose sum is σ = 93239289000. Its totient is φ = 4756340736.

The previous prime is 21965045719. The next prime is 21965045761. The reversal of 21965045760 is 6754056912.

21965045760 is a `hidden beast` number, since 2 + 1 + 96 + 50 + 457 + 60 = 666.

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

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 (21965045761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156055031 + ... + 1156055049.

Almost surely, 2^21965045760 is an apocalyptic number.

21965045760 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 21965045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46619644500).

21965045760 is an abundant number, since it is smaller than the sum of its proper divisors (71274243240).

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

21965045760 is an frugal number, since it uses more digits than its factorization.

21965045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21965045760 in words is "twenty-one billion, nine hundred sixty-five million, forty-five thousand, seven hundred sixty".