27107122193964 has 144 divisors (see below), whose sum is σ = 73013628673440. Its totient is φ = 8464321152000.

The previous prime is 27107122193959. The next prime is 27107122193971. The reversal of 27107122193964 is 46939122170172.

27107122193964 is a `hidden beast` number, since 27 + 1 + 0 + 7 + 1 + 221 + 9 + 396 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27107122193964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5998119 + ... + 9496929.

It is an arithmetic number, because the mean of its divisors is an integer number (507039088010).

Almost surely, 2^{27107122193964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27107122193964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36506814336720).

27107122193964 is an abundant number, since it is smaller than the sum of its proper divisors (45906506479476).

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

27107122193964 is a wasteful number, since it uses less digits than its factorization.

27107122193964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499072 (or 3499067 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 27107122193964 in words is "twenty-seven trillion, one hundred seven billion, one hundred twenty-two million, one hundred ninety-three thousand, nine hundred sixty-four".