5961337200 has 720 divisors, whose sum is σ = 26327648256. Its totient is φ = 1215129600.

The previous prime is 5961337189. The next prime is 5961337211. The reversal of 5961337200 is 27331695.

5961337200 is a `hidden beast` number, since 5 + 9 + 613 + 37 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5961337189) and next prime (5961337211).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155307 + ... + 10155893.

Almost surely, 2^5961337200 is an apocalyptic number.

5961337200 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 5961337200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163824128).

5961337200 is an abundant number, since it is smaller than the sum of its proper divisors (20366311056).

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

5961337200 is a wasteful number, since it uses less digits than its factorization.

5961337200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5961337200 is about 77209.6962822676. The cubic root of 5961337200 is about 1813.2091252990.

Adding to 5961337200 its reverse (27331695), we get a palindrome (5988668895).

The spelling of 5961337200 in words is "five billion, nine hundred sixty-one million, three hundred thirty-seven thousand, two hundred".