6106917117600 has 864 divisors, whose sum is σ = 24438021491520. Its totient is φ = 1422582497280.

The previous prime is 6106917117599. The next prime is 6106917117641. The reversal of 6106917117600 is 67117196016.

It is a happy number.

6106917117600 is a `hidden beast` number, since 6 + 10 + 6 + 9 + 17 + 1 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3064182204 + ... + 3064184196.

Almost surely, 2^{6106917117600} is an apocalyptic number.

6106917117600 is a gapful number since it is divisible by the number (60) 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 6106917117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219010745760).

6106917117600 is an abundant number, since it is smaller than the sum of its proper divisors (18331104373920).

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

6106917117600 is a wasteful number, since it uses less digits than its factorization.

6106917117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 6106917117600 in words is "six trillion, one hundred six billion, nine hundred seventeen million, one hundred seventeen thousand, six hundred".