27103216140 has 1728 divisors, whose sum is σ = 126173376000. Its totient is φ = 4755179520.

The previous prime is 27103216099. The next prime is 27103216141. The reversal of 27103216140 is 4161230172.

27103216140 is a `hidden beast` number, since 2 + 7 + 10 + 32 + 1 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27103216141) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 934593646 + ... + 934593674.

It is an arithmetic number, because the mean of its divisors is an integer number (73017000).

Almost surely, 2^27103216140 is an apocalyptic number.

27103216140 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 27103216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086688000).

27103216140 is an abundant number, since it is smaller than the sum of its proper divisors (99070159860).

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

27103216140 is a wasteful number, since it uses less digits than its factorization.

27103216140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 27103216140 in words is "twenty-seven billion, one hundred three million, two hundred sixteen thousand, one hundred forty".