6129058894920 has 288 divisors, whose sum is σ = 21811946668200. Its totient is φ = 1491738513408.

The previous prime is 6129058894853. The next prime is 6129058894939. The reversal of 6129058894920 is 294988509216.

6129058894920 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 0 + 588 + 9 + 49 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1059347328516 + 5069711566404 = 1029246^2 + 2251602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4848802 + ... + 5980718.

Almost surely, 2^{6129058894920} is an apocalyptic number.

6129058894920 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 6129058894920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905973334100).

6129058894920 is an abundant number, since it is smaller than the sum of its proper divisors (15682887773280).

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

6129058894920 is a wasteful number, since it uses less digits than its factorization.

6129058894920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132049 (or 1132029 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 6129058894920 in words is "six trillion, one hundred twenty-nine billion, fifty-eight million, eight hundred ninety-four thousand, nine hundred twenty".