21926967120 has 240 divisors, whose sum is σ = 76214121984. Its totient is φ = 5643648000.

The previous prime is 21926967107. The next prime is 21926967137. The reversal of 21926967120 is 2176962912.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21926967120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288455 + ... + 10290585.

Almost surely, 2^21926967120 is an apocalyptic number.

21926967120 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 21926967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38107060992).

21926967120 is an abundant number, since it is smaller than the sum of its proper divisors (54287154864).

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

21926967120 is a wasteful number, since it uses less digits than its factorization.

21926967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 21926967120 in words is "twenty-one billion, nine hundred twenty-six million, nine hundred sixty-seven thousand, one hundred twenty".