6105717578752 has 176 divisors, whose sum is σ = 13797264729600. Its totient is φ = 2676453212160.

The previous prime is 6105717578713. The next prime is 6105717578797. The reversal of 6105717578752 is 2578757175016.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38184024 + ... + 38343592.

It is an arithmetic number, because the mean of its divisors is an integer number (78393549600).

Almost surely, 2^{6105717578752} 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 6105717578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898632364800).

6105717578752 is an abundant number, since it is smaller than the sum of its proper divisors (7691547150848).

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

6105717578752 is a wasteful number, since it uses less digits than its factorization.

6105717578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159722 (or 159704 counting only the distinct ones).

The product of its (nonzero) digits is 28812000, while the sum is 61.

The spelling of 6105717578752 in words is "six trillion, one hundred five billion, seven hundred seventeen million, five hundred seventy-eight thousand, seven hundred fifty-two".