5982645097296 has 840 divisors, whose sum is σ = 20697734412744. Its totient is φ = 1669068011520.

The previous prime is 5982645097291. The next prime is 5982645097327. The reversal of 5982645097296 is 6927905462895.

5982645097296 is a `hidden beast` number, since 5 + 9 + 8 + 26 + 4 + 509 + 7 + 2 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578415007296 + 5404230090000 = 760536^2 + 2324700^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982645097291) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5473599726 + ... + 5473600818.

Almost surely, 2^{5982645097296} is an apocalyptic number.

5982645097296 is a gapful number since it is divisible by the number (56) 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 5982645097296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348867206372).

5982645097296 is an abundant number, since it is smaller than the sum of its proper divisors (14715089315448).

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

5982645097296 is a wasteful number, since it uses less digits than its factorization.

5982645097296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 5982645097296 in words is "five trillion, nine hundred eighty-two billion, six hundred forty-five million, ninety-seven thousand, two hundred ninety-six".