27145324465600 has 168 divisors, whose sum is σ = 73892982796416. Its totient is φ = 9731998080000.

The previous prime is 27145324465579. The next prime is 27145324465657. The reversal of 27145324465600 is 656442354172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612006 + ... + 12111205.

It is an arithmetic number, because the mean of its divisors is an integer number (439839183312).

Almost surely, 2^{27145324465600} is an apocalyptic number.

27145324465600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27145324465600 is an abundant number, since it is smaller than the sum of its proper divisors (46747658330816).

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

27145324465600 is a wasteful number, since it uses less digits than its factorization.

27145324465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723315 (or 21723300 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 27145324465600 in words is "twenty-seven trillion, one hundred forty-five billion, three hundred twenty-four million, four hundred sixty-five thousand, six hundred".