5965132800000 has 1344 divisors, whose sum is σ = 22705384762368. Its totient is φ = 1378713600000.

The previous prime is 5965132799993. The next prime is 5965132800047. The reversal of 5965132800000 is 82315695.

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 95 ways as a sum of consecutive naturals, for example, 19430399847 + ... + 19430400153.

It is an arithmetic number, because the mean of its divisors is an integer number (16893887472).

Almost surely, 2^{5965132800000} is an apocalyptic number.

5965132800000 is a gapful number since it is divisible by the number (50) 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 5965132800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352692381184).

5965132800000 is an abundant number, since it is smaller than the sum of its proper divisors (16740251962368).

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

5965132800000 is an equidigital number, since it uses as much as digits as its factorization.

5965132800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 5965132800000 in words is "five trillion, nine hundred sixty-five billion, one hundred thirty-two million, eight hundred thousand".