27260132850 has 120 divisors (see below), whose sum is σ = 77027235120. Its totient is φ = 7146096480.

The previous prime is 27260132819. The next prime is 27260132881. The reversal of 27260132850 is 5823106272.

27260132850 is a `hidden beast` number, since 27 + 2 + 601 + 3 + 28 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27260132819) and next prime (27260132881).

It is a super-2 number, since 2×27260132850² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 181909 + ... + 295991.

It is an arithmetic number, because the mean of its divisors is an integer number (641893626).

Almost surely, 2^27260132850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27260132850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38513617560).

27260132850 is an abundant number, since it is smaller than the sum of its proper divisors (49767102270).

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

27260132850 is a wasteful number, since it uses less digits than its factorization.

27260132850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114166 (or 114152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27260132850 in words is "twenty-seven billion, two hundred sixty million, one hundred thirty-two thousand, eight hundred fifty".