27946417135140 has 576 divisors, whose sum is σ = 102885328465920. Its totient is φ = 6004296253440.

The previous prime is 27946417135097. The next prime is 27946417135157. The reversal of 27946417135140 is 4153171464972.

27946417135140 is a `hidden beast` number, since 2 + 7 + 9 + 464 + 1 + 7 + 1 + 35 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856999156 + ... + 857031764.

It is an arithmetic number, because the mean of its divisors is an integer number (178620361920).

Almost surely, 2^{27946417135140} is an apocalyptic number.

27946417135140 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 27946417135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442664232960).

27946417135140 is an abundant number, since it is smaller than the sum of its proper divisors (74938911330780).

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

27946417135140 is a wasteful number, since it uses less digits than its factorization.

27946417135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33292 (or 33287 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27946417135140 in words is "twenty-seven trillion, nine hundred forty-six billion, four hundred seventeen million, one hundred thirty-five thousand, one hundred forty".