5990400000 has 540 divisors, whose sum is σ = 23293798164. Its totient is φ = 1474560000.

The previous prime is 5990399981. The next prime is 5990400067. The reversal of 5990400000 is 40995.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5664669696 + 325730304 = 75264^2 + 18048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460799994 + ... + 460800006.

Almost surely, 2^5990400000 is an apocalyptic number.

5990400000 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 5990400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646899082).

5990400000 is an abundant number, since it is smaller than the sum of its proper divisors (17303398164).

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

5990400000 is an frugal number, since it uses more digits than its factorization.

5990400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5990400000 is about 77397.6743836661. The cubic root of 5990400000 is about 1816.1509445195.

Adding to 5990400000 its reverse (40995), we get a palindrome (5990440995).

The spelling of 5990400000 in words is "five billion, nine hundred ninety million, four hundred thousand".