27221354496 has 288 divisors, whose sum is σ = 93768554880. Its totient is φ = 7438565376.

The previous prime is 27221354441. The next prime is 27221354497. The reversal of 27221354496 is 69445312272.

27221354496 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 13 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27221354497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2962966 + ... + 2972138.

It is an arithmetic number, because the mean of its divisors is an integer number (325585260).

Almost surely, 2^27221354496 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 27221354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884277440).

27221354496 is an abundant number, since it is smaller than the sum of its proper divisors (66547200384).

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

27221354496 is a wasteful number, since it uses less digits than its factorization.

27221354496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9208 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 27221354496 in words is "twenty-seven billion, two hundred twenty-one million, three hundred fifty-four thousand, four hundred ninety-six".