21894027456 has 448 divisors, whose sum is σ = 73315860480. Its totient is φ = 5622005760.

The previous prime is 21894027377. The next prime is 21894027457. The reversal of 21894027456 is 65472049812.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21894027457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114628321 + ... + 114628511.

Almost surely, 2^21894027456 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 21894027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36657930240).

21894027456 is an abundant number, since it is smaller than the sum of its proper divisors (51421833024).

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

21894027456 is a wasteful number, since it uses less digits than its factorization.

21894027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 21894027456 in words is "twenty-one billion, eight hundred ninety-four million, twenty-seven thousand, four hundred fifty-six".