5968002590112 has 96 divisors (see below), whose sum is σ = 15897267828288. Its totient is φ = 1960096260096.

The previous prime is 5968002590093. The next prime is 5968002590159. The reversal of 5968002590112 is 2110952008695.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968048 + ... + 3976080.

It is an arithmetic number, because the mean of its divisors is an integer number (165596539878).

Almost surely, 2^{5968002590112} 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 5968002590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948633914144).

5968002590112 is an abundant number, since it is smaller than the sum of its proper divisors (9929265238176).

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

5968002590112 is a wasteful number, since it uses less digits than its factorization.

5968002590112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008502 (or 2008494 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 5968002590112 in words is "five trillion, nine hundred sixty-eight billion, two million, five hundred ninety thousand, one hundred twelve".