21711734784 has 144 divisors (see below), whose sum is σ = 62872664400. Its totient is φ = 7218192384.

The previous prime is 21711734767. The next prime is 21711734797. The reversal of 21711734784 is 48743711712.

21711734784 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 173 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8164047 + ... + 8166705.

It is an arithmetic number, because the mean of its divisors is an integer number (436615725).

Almost surely, 2^21711734784 is an apocalyptic number.

21711734784 is a gapful number since it is divisible by the number (24) 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 21711734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31436332200).

21711734784 is an abundant number, since it is smaller than the sum of its proper divisors (41160929616).

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

21711734784 is a wasteful number, since it uses less digits than its factorization.

21711734784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3107 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 21711734784 in words is "twenty-one billion, seven hundred eleven million, seven hundred thirty-four thousand, seven hundred eighty-four".