21827895552 has 360 divisors, whose sum is σ = 72564861600. Its totient is φ = 6485557248.

The previous prime is 21827895503. The next prime is 21827895563. The reversal of 21827895552 is 25559872812.

21827895552 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 7 + 89 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6696099 + ... + 6699357.

It is an arithmetic number, because the mean of its divisors is an integer number (201569060).

Almost surely, 2^21827895552 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 21827895552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36282430800).

21827895552 is an abundant number, since it is smaller than the sum of its proper divisors (50736966048).

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

21827895552 is a wasteful number, since it uses less digits than its factorization.

21827895552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3300 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 21827895552 in words is "twenty-one billion, eight hundred twenty-seven million, eight hundred ninety-five thousand, five hundred fifty-two".