21724160160 has 96 divisors (see below), whose sum is σ = 70638607872. Its totient is φ = 5606231040.

The previous prime is 21724160149. The next prime is 21724160173. The reversal of 21724160160 is 6106142712.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715099 + ... + 744858.

It is an arithmetic number, because the mean of its divisors is an integer number (735818832).

Almost surely, 2^21724160160 is an apocalyptic number.

21724160160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21724160160 is an abundant number, since it is smaller than the sum of its proper divisors (48914447712).

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

21724160160 is a wasteful number, since it uses less digits than its factorization.

21724160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460006 (or 1459998 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 21724160160 in words is "twenty-one billion, seven hundred twenty-four million, one hundred sixty thousand, one hundred sixty".