6126561285696 has 448 divisors, whose sum is σ = 19614255513600. Its totient is φ = 1868106240000.

The previous prime is 6126561285679. The next prime is 6126561285697. The reversal of 6126561285696 is 6965821656216.

6126561285696 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 5 + 61 + 2 + 8 + 569 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6126561285697) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 471231196 + ... + 471244196.

Almost surely, 2^{6126561285696} 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 6126561285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807127756800).

6126561285696 is an abundant number, since it is smaller than the sum of its proper divisors (13487694227904).

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

6126561285696 is a wasteful number, since it uses less digits than its factorization.

6126561285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13535 (or 13519 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 6126561285696 in words is "six trillion, one hundred twenty-six billion, five hundred sixty-one million, two hundred eighty-five thousand, six hundred ninety-six".