6071296000000 has 1071 divisors, whose sum is σ = 19406963521281. Its totient is φ = 1892352000000.

The previous prime is 6071295999959. The next prime is 6071296000009. The reversal of 6071296000000 is 6921706.

The square root of 6071296000000 is 2464000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 5319038140416 + 752257859584 = 2306304^2 + 867328^2 .

It is not an unprimeable number, because it can be changed into a prime (6071296000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 551935999995 + ... + 551936000005.

Almost surely, 2^{6071296000000} is an apocalyptic number.

6071296000000 is the 2464000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6071296000000

6071296000000 is an abundant number, since it is smaller than the sum of its proper divisors (13335667521281).

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

6071296000000 is an frugal number, since it uses more digits than its factorization.

6071296000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 6071296000000 in words is "six trillion, seventy-one billion, two hundred ninety-six million", and thus it is an aban number.