21120966240 has 576 divisors, whose sum is σ = 77568357888. Its totient is φ = 4817387520.

The previous prime is 21120966239. The next prime is 21120966253. The reversal of 21120966240 is 4266902112.

It is a super-2 number, since 2×21120966240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 129576399 + ... + 129576561.

It is an arithmetic number, because the mean of its divisors is an integer number (134667288).

Almost surely, 2^21120966240 is an apocalyptic number.

21120966240 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 21120966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38784178944).

21120966240 is an abundant number, since it is smaller than the sum of its proper divisors (56447391648).

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

21120966240 is a wasteful number, since it uses less digits than its factorization.

21120966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 21120966240 in words is "twenty-one billion, one hundred twenty million, nine hundred sixty-six thousand, two hundred forty".