6135677118792 has 240 divisors, whose sum is σ = 18624689429940. Its totient is φ = 1886332810752.

The previous prime is 6135677118731. The next prime is 6135677118793. The reversal of 6135677118792 is 2978117765316.

6135677118792 is a `hidden beast` number, since 61 + 3 + 567 + 7 + 1 + 1 + 8 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1962784188036 + 4172892930756 = 1400994^2 + 2042766^2 .

It is not an unprimeable number, because it can be changed into a prime (6135677118793) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135443698 + ... + 135488990.

Almost surely, 2^{6135677118792} 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 6135677118792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312344714970).

6135677118792 is an abundant number, since it is smaller than the sum of its proper divisors (12489012311148).

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

6135677118792 is a wasteful number, since it uses less digits than its factorization.

6135677118792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46574 (or 46548 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 6135677118792 in words is "six trillion, one hundred thirty-five billion, six hundred seventy-seven million, one hundred eighteen thousand, seven hundred ninety-two".