21292056576 has 408 divisors, whose sum is σ = 73282320384. Its totient is φ = 6051594240.

The previous prime is 21292056559. The next prime is 21292056613. The reversal of 21292056576 is 67565029212.

21292056576 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 20 + 56 + 576 = 666.

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 23 ways as a sum of consecutive naturals, for example, 111476641 + ... + 111476831.

Almost surely, 2^21292056576 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 21292056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36641160192).

21292056576 is an abundant number, since it is smaller than the sum of its proper divisors (51990263808).

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

21292056576 is an frugal number, since it uses more digits than its factorization.

21292056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21292056576 in words is "twenty-one billion, two hundred ninety-two million, fifty-six thousand, five hundred seventy-six".