5950990400 has 84 divisors (see below), whose sum is σ = 14724773700. Its totient is φ = 2367129600.

The previous prime is 5950990363. The next prime is 5950990411. The reversal of 5950990400 is 40990595.

It can be written as a sum of positive squares in 6 ways, for example, as 149426176 + 5801564224 = 12224^2 + 76168^2 .

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 11 ways as a sum of consecutive naturals, for example, 279326 + ... + 299874.

It is an arithmetic number, because the mean of its divisors is an integer number (175294925).

Almost surely, 2^5950990400 is an apocalyptic number.

5950990400 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 5950990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362386850).

5950990400 is an abundant number, since it is smaller than the sum of its proper divisors (8773783300).

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

5950990400 is a wasteful number, since it uses less digits than its factorization.

5950990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20752 (or 20737 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 5950990400 is about 77142.6626452575. The cubic root of 5950990400 is about 1812.1594851396.

The spelling of 5950990400 in words is "five billion, nine hundred fifty million, nine hundred ninety thousand, four hundred".