27045145895040 has 4608 divisors, whose sum is σ = 129730637836800. Its totient is φ = 5127335313408.

The previous prime is 27045145894979. The next prime is 27045145895129. The reversal of 27045145895040 is 4059854154072.

27045145895040 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 5 + 1 + 4 + 589 + 50 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 105234030592 + ... + 105234030848.

It is an arithmetic number, because the mean of its divisors is an integer number (28153350225).

Almost surely, 2^{27045145895040} is an apocalyptic number.

27045145895040 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 27045145895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64865318918400).

27045145895040 is an abundant number, since it is smaller than the sum of its proper divisors (102685491941760).

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

27045145895040 is a wasteful number, since it uses less digits than its factorization.

27045145895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 27045145895040 in words is "twenty-seven trillion, forty-five billion, one hundred forty-five million, eight hundred ninety-five thousand, forty".