27134093962300 has 144 divisors (see below), whose sum is σ = 63486363612672. Its totient is φ = 10006731820800.

The previous prime is 27134093962291. The next prime is 27134093962303. The reversal of 27134093962300 is 326939043172.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27134093962303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5116741449 + ... + 5116746751.

It is an arithmetic number, because the mean of its divisors is an integer number (440877525088).

Almost surely, 2^{27134093962300} is an apocalyptic number.

27134093962300 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 27134093962300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743181806336).

27134093962300 is an abundant number, since it is smaller than the sum of its proper divisors (36352269650372).

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

27134093962300 is a wasteful number, since it uses less digits than its factorization.

27134093962300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 27134093962300 in words is "twenty-seven trillion, one hundred thirty-four billion, ninety-three million, nine hundred sixty-two thousand, three hundred".