27121845564 has 288 divisors, whose sum is σ = 82023352320. Its totient is φ = 7535008800.

The previous prime is 27121845557. The next prime is 27121845593. The reversal of 27121845564 is 46554812172.

27121845564 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 1 + 84 + 5 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874898229 + ... + 874898259.

Almost surely, 2^27121845564 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 27121845564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41011676160).

27121845564 is an abundant number, since it is smaller than the sum of its proper divisors (54901506756).

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

27121845564 is a wasteful number, since it uses less digits than its factorization.

27121845564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 66 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 27121845564 in words is "twenty-seven billion, one hundred twenty-one million, eight hundred forty-five thousand, five hundred sixty-four".