27631149693102 has 24 divisors (see below), whose sum is σ = 59868857897784. Its totient is φ = 9210172939344.

The previous prime is 27631149693097. The next prime is 27631149693143. The reversal of 27631149693102 is 20139694113672.

27631149693102 is a `hidden beast` number, since 2 + 7 + 6 + 311 + 4 + 9 + 6 + 9 + 310 + 2 = 666.

It is a super-2 number, since 2×27631149693102² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16713028 + ... + 18291735.

It is an arithmetic number, because the mean of its divisors is an integer number (2494535745741).

Almost surely, 2^{27631149693102} is an apocalyptic number.

27631149693102 is an abundant number, since it is smaller than the sum of its proper divisors (32237708204682).

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

27631149693102 is a wasteful number, since it uses less digits than its factorization.

27631149693102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35048624 (or 35048621 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

Adding to 27631149693102 its sum of digits (54), we get a square (27631149693156 = 5256534²).

The spelling of 27631149693102 in words is "twenty-seven trillion, six hundred thirty-one billion, one hundred forty-nine million, six hundred ninety-three thousand, one hundred two".