21827396448 has 432 divisors, whose sum is σ = 74674716480. Its totient is φ = 5993395200.

The previous prime is 21827396419. The next prime is 21827396467. The reversal of 21827396448 is 84469372812.

It is a junction number, because it is equal to n+sod(n) for n = 21827396394 and 21827396403.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 31587783 + ... + 31588473.

It is an arithmetic number, because the mean of its divisors is an integer number (172858140).

Almost surely, 2^21827396448 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 21827396448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337358240).

21827396448 is an abundant number, since it is smaller than the sum of its proper divisors (52847320032).

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

21827396448 is a wasteful number, since it uses less digits than its factorization.

21827396448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

It can be divided in two parts, 218273 and 96448, that added together give a square (314721 = 561²).

The spelling of 21827396448 in words is "twenty-one billion, eight hundred twenty-seven million, three hundred ninety-six thousand, four hundred forty-eight".