21782604096 has 84 divisors (see below), whose sum is σ = 68111912544. Its totient is φ = 6600787200.

The previous prime is 21782604071. The next prime is 21782604133. The reversal of 21782604096 is 69040628712.

It is a happy number.

21782604096 is a `hidden beast` number, since 217 + 8 + 26 + 0 + 409 + 6 = 666.

It is a super-3 number, since 3×21782604096³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1712620 + ... + 1725291.

Almost surely, 2^21782604096 is an apocalyptic number.

It is an amenable number.

21782604096 is an abundant number, since it is smaller than the sum of its proper divisors (46329308448).

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

21782604096 is a wasteful number, since it uses less digits than its factorization.

21782604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437940 (or 3437927 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21782604096 in words is "twenty-one billion, seven hundred eighty-two million, six hundred four thousand, ninety-six".