27016727040 has 400 divisors, whose sum is σ = 97706378088. Its totient is φ = 7134511104.

The previous prime is 27016726963. The next prime is 27016727053. The reversal of 27016727040 is 4072761072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17512816896 + 9503910144 = 132336^2 + 97488^2 .

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 = 27016726986 and 27016727004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23431104 + ... + 23432256.

Almost surely, 2^27016727040 is an apocalyptic number.

27016727040 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 27016727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48853189044).

27016727040 is an abundant number, since it is smaller than the sum of its proper divisors (70689651048).

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

27016727040 is a wasteful number, since it uses less digits than its factorization.

27016727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 27016727040 in words is "twenty-seven billion, sixteen million, seven hundred twenty-seven thousand, forty".