27606984131350 has 48 divisors (see below), whose sum is σ = 56205452464560. Its totient is φ = 10026243907200.

The previous prime is 27606984131341. The next prime is 27606984131359. The reversal of 27606984131350 is 5313148960672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27606984131341) and next prime (27606984131359).

It is a super-2 number, since 2×27606984131350² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27606984131291 and 27606984131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27606984131359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348093820 + ... + 348173119.

It is an arithmetic number, because the mean of its divisors is an integer number (1170946926345).

It is a 1-persistent number, because it is pandigital, but 2⋅27606984131350 = 55213968262700 is not.

Almost surely, 2^{27606984131350} is an apocalyptic number.

27606984131350 is an abundant number, since it is smaller than the sum of its proper divisors (28598468333210).

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

27606984131350 is a wasteful number, since it uses less digits than its factorization.

27606984131350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696267025 (or 696267020 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 27606984131350 in words is "twenty-seven trillion, six hundred six billion, nine hundred eighty-four million, one hundred thirty-one thousand, three hundred fifty".