27160442742500 has 240 divisors, whose sum is σ = 63265736983680. Its totient is φ = 10163881728000.

The previous prime is 27160442742491. The next prime is 27160442742533. The reversal of 27160442742500 is 524724406172.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7303155641 + ... + 7303159359.

It is an arithmetic number, because the mean of its divisors is an integer number (263607237432).

Almost surely, 2^{27160442742500} is an apocalyptic number.

27160442742500 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 27160442742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632868491840).

27160442742500 is an abundant number, since it is smaller than the sum of its proper divisors (36105294241180).

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

27160442742500 is a wasteful number, since it uses less digits than its factorization.

27160442742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 44.

The spelling of 27160442742500 in words is "twenty-seven trillion, one hundred sixty billion, four hundred forty-two million, seven hundred forty-two thousand, five hundred".