27345034148600 has 144 divisors (see below), whose sum is σ = 77172685297200. Its totient is φ = 8967812367360.

The previous prime is 27345034148581. The next prime is 27345034148701. The reversal of 27345034148600 is 684143054372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60433505 + ... + 60884304.

It is an arithmetic number, because the mean of its divisors is an integer number (535921425675).

Almost surely, 2^{27345034148600} is an apocalyptic number.

27345034148600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27345034148600 is an abundant number, since it is smaller than the sum of its proper divisors (49827651148600).

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

27345034148600 is a wasteful number, since it uses less digits than its factorization.

27345034148600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121317862 (or 121317846 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 27345034148600 in words is "twenty-seven trillion, three hundred forty-five billion, thirty-four million, one hundred forty-eight thousand, six hundred".