27317052720 has 240 divisors, whose sum is σ = 92784463200. Its totient is φ = 7202058240.

The previous prime is 27317052703. The next prime is 27317052727. The reversal of 27317052720 is 2725071372.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27317052727) 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, 48008596 + ... + 48009164.

It is an arithmetic number, because the mean of its divisors is an integer number (386601930).

Almost surely, 2^27317052720 is an apocalyptic number.

27317052720 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 27317052720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46392231600).

27317052720 is an abundant number, since it is smaller than the sum of its proper divisors (65467410480).

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

27317052720 is a wasteful number, since it uses less digits than its factorization.

27317052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 27317052720 in words is "twenty-seven billion, three hundred seventeen million, fifty-two thousand, seven hundred twenty".