27921101364 has 36 divisors (see below), whose sum is σ = 76007443876. Its totient is φ = 8591107968.

The previous prime is 27921101347. The next prime is 27921101381. The reversal of 27921101364 is 46310112972.

27921101364 is a `hidden beast` number, since 279 + 21 + 1 + 0 + 1 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (27921101347) and next prime (27921101381).

It can be written as a sum of positive squares in 2 ways, for example, as 10138878864 + 17782222500 = 100692^2 + 133350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 29829769 + ... + 29830704.

Almost surely, 2^27921101364 is an apocalyptic number.

It is an amenable number.

27921101364 is an abundant number, since it is smaller than the sum of its proper divisors (48086342512).

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

27921101364 is a wasteful number, since it uses less digits than its factorization.

27921101364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59660496 (or 59660491 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 27921101364 in words is "twenty-seven billion, nine hundred twenty-one million, one hundred one thousand, three hundred sixty-four".