21783435264 has 144 divisors (see below), whose sum is σ = 63051534000. Its totient is φ = 7245348864.

The previous prime is 21783435257. The next prime is 21783435269. The reversal of 21783435264 is 46253438712.

21783435264 is a `hidden beast` number, since 2 + 1 + 7 + 83 + 43 + 526 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21783435269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11039782 + ... + 11041754.

It is an arithmetic number, because the mean of its divisors is an integer number (437857875).

Almost surely, 2^21783435264 is an apocalyptic number.

21783435264 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 21783435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31525767000).

21783435264 is an abundant number, since it is smaller than the sum of its proper divisors (41268098736).

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

21783435264 is a wasteful number, since it uses less digits than its factorization.

21783435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2577 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 21783435264 in words is "twenty-one billion, seven hundred eighty-three million, four hundred thirty-five thousand, two hundred sixty-four".