21481600896 has 512 divisors, whose sum is σ = 75461068800. Its totient is φ = 5888360448.

The previous prime is 21481600883. The next prime is 21481600897. The reversal of 21481600896 is 69800618412.

21481600896 is a `hidden beast` number, since 21 + 481 + 60 + 0 + 8 + 96 = 666.

It is a super-2 number, since 2×21481600896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21481600897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92195596 + ... + 92195828.

It is an arithmetic number, because the mean of its divisors is an integer number (147384900).

Almost surely, 2^21481600896 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 21481600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730534400).

21481600896 is an abundant number, since it is smaller than the sum of its proper divisors (53979467904).

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

21481600896 is a wasteful number, since it uses less digits than its factorization.

21481600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21481600896 in words is "twenty-one billion, four hundred eighty-one million, six hundred thousand, eight hundred ninety-six".