27990314294801 has 16 divisors (see below), whose sum is σ = 28655153146368. Its totient is φ = 27334177824000.

The previous prime is 27990314294791. The next prime is 27990314294821. The reversal of 27990314294801 is 10849241309972.

It is a de Polignac number, because none of the positive numbers 2^k-27990314294801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27990314294821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338121 + ... + 7838841.

It is an arithmetic number, because the mean of its divisors is an integer number (1790947071648).

Almost surely, 2^{27990314294801} is an apocalyptic number.

It is an amenable number.

27990314294801 is a deficient number, since it is larger than the sum of its proper divisors (664838851567).

27990314294801 is a wasteful number, since it uses less digits than its factorization.

27990314294801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501512.

The product of its (nonzero) digits is 7838208, while the sum is 59.

The spelling of 27990314294801 in words is "twenty-seven trillion, nine hundred ninety billion, three hundred fourteen million, two hundred ninety-four thousand, eight hundred one".