27351797760 has 1248 divisors, whose sum is σ = 121441731840. Its totient is φ = 5549064192.

The previous prime is 27351797741. The next prime is 27351797773. The reversal of 27351797760 is 6779715372.

It is a junction number, because it is equal to n+sod(n) for n = 27351797697 and 27351797706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636088299 + ... + 636088341.

It is an arithmetic number, because the mean of its divisors is an integer number (97309080).

Almost surely, 2^27351797760 is an apocalyptic number.

27351797760 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 27351797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60720865920).

27351797760 is an abundant number, since it is smaller than the sum of its proper divisors (94089934080).

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

27351797760 is a wasteful number, since it uses less digits than its factorization.

27351797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 27351797760 in words is "twenty-seven billion, three hundred fifty-one million, seven hundred ninety-seven thousand, seven hundred sixty".