21724510080 has 256 divisors, whose sum is σ = 85227609600. Its totient is φ = 4583596032.

The previous prime is 21724510063. The next prime is 21724510081. The reversal of 21724510080 is 8001542712.

It is a super-3 number, since 3×21724510080³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21724510081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112551 + ... + 236889.

It is an arithmetic number, because the mean of its divisors is an integer number (332920350).

Almost surely, 2^21724510080 is an apocalyptic number.

21724510080 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 21724510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42613804800).

21724510080 is an abundant number, since it is smaller than the sum of its proper divisors (63503099520).

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

21724510080 is a wasteful number, since it uses less digits than its factorization.

21724510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124381 (or 124369 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 21724510080 in words is "twenty-one billion, seven hundred twenty-four million, five hundred ten thousand, eighty".