27951346110 has 128 divisors (see below), whose sum is σ = 71754439680. Its totient is φ = 6944016384.

The previous prime is 27951346099. The next prime is 27951346231. The reversal of 27951346110 is 1164315972.

It is a super-2 number, since 2×27951346110² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26146656 + ... + 26147724.

It is an arithmetic number, because the mean of its divisors is an integer number (560581560).

Almost surely, 2^27951346110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27951346110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35877219840).

27951346110 is an abundant number, since it is smaller than the sum of its proper divisors (43803093570).

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

27951346110 is a wasteful number, since it uses less digits than its factorization.

27951346110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 27951346110 in words is "twenty-seven billion, nine hundred fifty-one million, three hundred forty-six thousand, one hundred ten".