5950398720 has 576 divisors, whose sum is σ = 23358504960. Its totient is φ = 1260748800.

The previous prime is 5950398709. The next prime is 5950398791. The reversal of 5950398720 is 278930595.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5950398720.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 31153825 + ... + 31154015.

It is an arithmetic number, because the mean of its divisors is an integer number (40552960).

Almost surely, 2^5950398720 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 5950398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679252480).

5950398720 is an abundant number, since it is smaller than the sum of its proper divisors (17408106240).

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

5950398720 is a wasteful number, since it uses less digits than its factorization.

5950398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 5950398720 is about 77138.8275772973. The cubic root of 5950398720 is about 1812.0994248813.

The spelling of 5950398720 in words is "five billion, nine hundred fifty million, three hundred ninety-eight thousand, seven hundred twenty".