21793224960 has 1440 divisors, whose sum is σ = 94734984960. Its totient is φ = 4729798656.

The previous prime is 21793224917. The next prime is 21793224961. The reversal of 21793224960 is 6942239712.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (21793224961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 589006062 + ... + 589006098.

It is an arithmetic number, because the mean of its divisors is an integer number (65788184).

Almost surely, 2^21793224960 is an apocalyptic number.

21793224960 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 21793224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47367492480).

21793224960 is an abundant number, since it is smaller than the sum of its proper divisors (72941760000).

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

21793224960 is a wasteful number, since it uses less digits than its factorization.

21793224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 21793 and 224960, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 21793224960 in words is "twenty-one billion, seven hundred ninety-three million, two hundred twenty-four thousand, nine hundred sixty".