27632517121 has 8 divisors (see below), whose sum is σ = 30155594688. Its totient is φ = 25111278000.

The previous prime is 27632517109. The next prime is 27632517137. The reversal of 27632517121 is 12171523672.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27632517121 - 2⁷ = 27632516993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27632512121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 428085 + ... + 488386.

It is an arithmetic number, because the mean of its divisors is an integer number (3769449336).

Almost surely, 2^27632517121 is an apocalyptic number.

It is an amenable number.

27632517121 is a deficient number, since it is larger than the sum of its proper divisors (2523077567).

27632517121 is a wasteful number, since it uses less digits than its factorization.

27632517121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919223.

The product of its digits is 35280, while the sum is 37.

The spelling of 27632517121 in words is "twenty-seven billion, six hundred thirty-two million, five hundred seventeen thousand, one hundred twenty-one".