21965748480 has 720 divisors, whose sum is σ = 86840402880. Its totient is φ = 5267275776.

The previous prime is 21965748479. The next prime is 21965748481. The reversal of 21965748480 is 8484756912.

It is a happy number.

21965748480 is a `hidden beast` number, since 2 + 1 + 96 + 5 + 74 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (21965748479) and next prime (21965748481).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (21965748481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 57956931 + ... + 57957309.

Almost surely, 2^21965748480 is an apocalyptic number.

21965748480 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 21965748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43420201440).

21965748480 is an abundant number, since it is smaller than the sum of its proper divisors (64874654400).

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

21965748480 is a wasteful number, since it uses less digits than its factorization.

21965748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 21965748480 in words is "twenty-one billion, nine hundred sixty-five million, seven hundred forty-eight thousand, four hundred eighty".