5950413342720 has 960 divisors, whose sum is σ = 26591195030400. Its totient is φ = 1236436254720.

The previous prime is 5950413342703. The next prime is 5950413342721. The reversal of 5950413342720 is 272433140595.

It is a happy number.

5950413342720 is a `hidden beast` number, since 5 + 9 + 5 + 0 + 41 + 334 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5950413342721) 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 79 ways as a sum of consecutive naturals, for example, 63820296 + ... + 63913464.

It is an arithmetic number, because the mean of its divisors is an integer number (27699161490).

Almost surely, 2^{5950413342720} 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 5950413342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295597515200).

5950413342720 is an abundant number, since it is smaller than the sum of its proper divisors (20640781687680).

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

5950413342720 is a wasteful number, since it uses less digits than its factorization.

5950413342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93226 (or 93197 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5950413342720 in words is "five trillion, nine hundred fifty billion, four hundred thirteen million, three hundred forty-two thousand, seven hundred twenty".