21790855296 has 384 divisors, whose sum is σ = 75240422400. Its totient is φ = 5922201600.

The previous prime is 21790855267. The next prime is 21790855381. The reversal of 21790855296 is 69255809712.

21790855296 is a `hidden beast` number, since 21 + 7 + 90 + 8 + 5 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21790855296² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 15248310 + ... + 15249738.

It is an arithmetic number, because the mean of its divisors is an integer number (195938600).

Almost surely, 2^21790855296 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 21790855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37620211200).

21790855296 is an abundant number, since it is smaller than the sum of its proper divisors (53449567104).

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

21790855296 is a wasteful number, since it uses less digits than its factorization.

21790855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 21790855296 in words is "twenty-one billion, seven hundred ninety million, eight hundred fifty-five thousand, two hundred ninety-six".