27814157140 has 144 divisors (see below), whose sum is σ = 77346347904. Its totient is φ = 8292345600.

The previous prime is 27814157093. The next prime is 27814157153. The reversal of 27814157140 is 4175141872.

It is a happy number.

It is a super-2 number, since 2×27814157140² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27814157093 and 27814157102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191850 + ... + 304030.

It is an arithmetic number, because the mean of its divisors is an integer number (537127416).

Almost surely, 2^27814157140 is an apocalyptic number.

27814157140 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 27814157140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673173952).

27814157140 is an abundant number, since it is smaller than the sum of its proper divisors (49532190764).

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

27814157140 is a wasteful number, since it uses less digits than its factorization.

27814157140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112238 (or 112229 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 27814157140 in words is "twenty-seven billion, eight hundred fourteen million, one hundred fifty-seven thousand, one hundred forty".