27351766436412 has 192 divisors, whose sum is σ = 77939900559360. Its totient is φ = 7357729766400.

The previous prime is 27351766436363. The next prime is 27351766436413. The reversal of 27351766436412 is 21463466715372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27351766436413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8265337 + ... + 11091407.

It is an arithmetic number, because the mean of its divisors is an integer number (405936982080).

Almost surely, 2^{27351766436412} is an apocalyptic number.

27351766436412 is a gapful number since it is divisible by the number (22) 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 27351766436412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38969950279680).

27351766436412 is an abundant number, since it is smaller than the sum of its proper divisors (50588134122948).

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

27351766436412 is a wasteful number, since it uses less digits than its factorization.

27351766436412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826352 (or 2826350 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 57.

The spelling of 27351766436412 in words is "twenty-seven trillion, three hundred fifty-one billion, seven hundred sixty-six million, four hundred thirty-six thousand, four hundred twelve".