27141557594112 has 960 divisors, whose sum is σ = 89447106228480. Its totient is φ = 8148949401600.

The previous prime is 27141557594101. The next prime is 27141557594189. The reversal of 27141557594112 is 21149575514172.

27141557594112 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 15 + 575 + 9 + 41 + 12 = 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 79 ways as a sum of consecutive naturals, for example, 15770805412 + ... + 15770807132.

It is an arithmetic number, because the mean of its divisors is an integer number (93174068988).

Almost surely, 2^{27141557594112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141557594112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44723553114240).

27141557594112 is an abundant number, since it is smaller than the sum of its proper divisors (62305548634368).

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

27141557594112 is a wasteful number, since it uses less digits than its factorization.

27141557594112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1913 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 27141557594112 in words is "twenty-seven trillion, one hundred forty-one billion, five hundred fifty-seven million, five hundred ninety-four thousand, one hundred twelve".