21962613120 has 256 divisors, whose sum is σ = 81365644800. Its totient is φ = 4934762496.

The previous prime is 21962613097. The next prime is 21962613149. The reversal of 21962613120 is 2131626912.

It is a super-2 number, since 2×21962613120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 779112 + ... + 806808.

It is an arithmetic number, because the mean of its divisors is an integer number (317834550).

Almost surely, 2^21962613120 is an apocalyptic number.

21962613120 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 21962613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40682822400).

21962613120 is an abundant number, since it is smaller than the sum of its proper divisors (59403031680).

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

21962613120 is a wasteful number, since it uses less digits than its factorization.

21962613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27785 (or 27773 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 21962613120 in words is "twenty-one billion, nine hundred sixty-two million, six hundred thirteen thousand, one hundred twenty".