27119732080 has 480 divisors, whose sum is σ = 80792328960. Its totient is φ = 8411074560.

The previous prime is 27119732041. The next prime is 27119732083. The reversal of 27119732080 is 8023791172.

It is a happy number.

It is a super-2 number, since 2×27119732080² (a number of 22 digits) contains 22 as substring.

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 (27119732083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253455387 + ... + 253455493.

It is an arithmetic number, because the mean of its divisors is an integer number (168317352).

Almost surely, 2^27119732080 is an apocalyptic number.

27119732080 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 27119732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40396164480).

27119732080 is an abundant number, since it is smaller than the sum of its proper divisors (53672596880).

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

27119732080 is a wasteful number, since it uses less digits than its factorization.

27119732080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 27119732080 in words is "twenty-seven billion, one hundred nineteen million, seven hundred thirty-two thousand, eighty".