21145760384 has 64 divisors (see below), whose sum is σ = 48176199360. Its totient is φ = 9056477184.

The previous prime is 21145760353. The next prime is 21145760407. The reversal of 21145760384 is 48306754112.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513559 + ... + 1527465.

It is an arithmetic number, because the mean of its divisors is an integer number (752753115).

Almost surely, 2^21145760384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21145760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088099680).

21145760384 is an abundant number, since it is smaller than the sum of its proper divisors (27030438976).

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

21145760384 is a wasteful number, since it uses less digits than its factorization.

21145760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15625 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 21145760384 in words is "twenty-one billion, one hundred forty-five million, seven hundred sixty thousand, three hundred eighty-four".