5967598264320 has 1008 divisors, whose sum is σ = 24418619817984. Its totient is φ = 1239869030400.

The previous prime is 5967598264253. The next prime is 5967598264321. The reversal of 5967598264320 is 234628957695.

It is a super-2 number, since 2×5967598264320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (5967598264321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728551425 + ... + 728559615.

It is an arithmetic number, because the mean of its divisors is an integer number (24224821248).

Almost surely, 2^{5967598264320} 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 5967598264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209309908992).

5967598264320 is an abundant number, since it is smaller than the sum of its proper divisors (18451021553664).

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

5967598264320 is a wasteful number, since it uses less digits than its factorization.

5967598264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 5967598264320 in words is "five trillion, nine hundred sixty-seven billion, five hundred ninety-eight million, two hundred sixty-four thousand, three hundred twenty".