27114929923140 has 384 divisors, whose sum is σ = 88337701509120. Its totient is φ = 6899001348096.

The previous prime is 27114929923139. The next prime is 27114929923183. The reversal of 27114929923140 is 4132992941172.

27114929923140 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 492 + 9 + 9 + 2 + 3 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211122784 + ... + 211251176.

It is an arithmetic number, because the mean of its divisors is an integer number (230046097680).

Almost surely, 2^{27114929923140} is an apocalyptic number.

27114929923140 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 27114929923140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44168850754560).

27114929923140 is an abundant number, since it is smaller than the sum of its proper divisors (61222771585980).

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

27114929923140 is a wasteful number, since it uses less digits than its factorization.

27114929923140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128668 (or 128660 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 27114929923140 in words is "twenty-seven trillion, one hundred fourteen billion, nine hundred twenty-nine million, nine hundred twenty-three thousand, one hundred forty".