6057069100992 has 672 divisors, whose sum is σ = 21568838345600. Its totient is φ = 1591943528448.

The previous prime is 6057069100991. The next prime is 6057069101059. The reversal of 6057069100992 is 2990019607506.

6057069100992 is a `hidden beast` number, since 6 + 0 + 570 + 69 + 1 + 0 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057069100991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2985247434 + ... + 2985249462.

Almost surely, 2^{6057069100992} 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 6057069100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784419172800).

6057069100992 is an abundant number, since it is smaller than the sum of its proper divisors (15511769244608).

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

6057069100992 is a wasteful number, since it uses less digits than its factorization.

6057069100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 6057069100992 in words is "six trillion, fifty-seven billion, sixty-nine million, one hundred thousand, nine hundred ninety-two".