27746131140 has 288 divisors, whose sum is σ = 103750483200. Its totient is φ = 5844814848.

The previous prime is 27746131117. The next prime is 27746131157. The reversal of 27746131140 is 4113164772.

27746131140 is a `hidden beast` number, since 27 + 7 + 4 + 613 + 1 + 14 + 0 = 666.

It is a super-3 number, since 3×27746131140³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27746131095 and 27746131104.

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, 16330011 + ... + 16331709.

Almost surely, 2^27746131140 is an apocalyptic number.

27746131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27746131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51875241600).

27746131140 is an abundant number, since it is smaller than the sum of its proper divisors (76004352060).

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

27746131140 is a wasteful number, since it uses less digits than its factorization.

27746131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27746131140 in words is "twenty-seven billion, seven hundred forty-six million, one hundred thirty-one thousand, one hundred forty".