21724779360 has 96 divisors (see below), whose sum is σ = 72034824960. Its totient is φ = 5488363008.

The previous prime is 21724779331. The next prime is 21724779397. The reversal of 21724779360 is 6397742712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1181932 + ... + 1200171.

It is an arithmetic number, because the mean of its divisors is an integer number (750362760).

Almost surely, 2^21724779360 is an apocalyptic number.

21724779360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21724779360 is an abundant number, since it is smaller than the sum of its proper divisors (50310045600).

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

21724779360 is a wasteful number, since it uses less digits than its factorization.

21724779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382140 (or 2382132 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 21724779360 in words is "twenty-one billion, seven hundred twenty-four million, seven hundred seventy-nine thousand, three hundred sixty".