6054972991776 has 288 divisors, whose sum is σ = 17544631104000. Its totient is φ = 1980493092864.

The previous prime is 6054972991751. The next prime is 6054972991783. The reversal of 6054972991776 is 6771992794506.

6054972991776 is a `hidden beast` number, since 6 + 0 + 549 + 7 + 2 + 9 + 9 + 1 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6054972991776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926520470 + ... + 2926522538.

It is an arithmetic number, because the mean of its divisors is an integer number (60918858000).

Almost surely, 2^{6054972991776} 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 6054972991776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772315552000).

6054972991776 is an abundant number, since it is smaller than the sum of its proper divisors (11489658112224).

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

6054972991776 is a wasteful number, since it uses less digits than its factorization.

6054972991776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 6054972991776 in words is "six trillion, fifty-four billion, nine hundred seventy-two million, nine hundred ninety-one thousand, seven hundred seventy-six".