27716347120 has 240 divisors, whose sum is σ = 85715388864. Its totient is φ = 8130355200.

The previous prime is 27716347091. The next prime is 27716347121. The reversal of 27716347120 is 2174361772.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27716347121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139890 + ... + 1163950.

Almost surely, 2^27716347120 is an apocalyptic number.

27716347120 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 27716347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42857694432).

27716347120 is an abundant number, since it is smaller than the sum of its proper divisors (57999041744).

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

27716347120 is a wasteful number, since it uses less digits than its factorization.

27716347120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24120 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 27716347120 in words is "twenty-seven billion, seven hundred sixteen million, three hundred forty-seven thousand, one hundred twenty".