5991955200 has 972 divisors, whose sum is σ = 27326485368. Its totient is φ = 1238630400.

The previous prime is 5991955199. The next prime is 5991955231. The reversal of 5991955200 is 25591995.

5991955200 is a `hidden beast` number, since 5 + 9 + 91 + 9 + 552 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31046304 + ... + 31046496.

Almost surely, 2^5991955200 is an apocalyptic number.

5991955200 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 5991955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663242684).

5991955200 is an abundant number, since it is smaller than the sum of its proper divisors (21334530168).

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

5991955200 is a wasteful number, since it uses less digits than its factorization.

5991955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The square root of 5991955200 is about 77407.7205451756. The cubic root of 5991955200 is about 1816.3080978291.

It can be divided in two parts, 5991 and 955200, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 5991955200 in words is "five billion, nine hundred ninety-one million, nine hundred fifty-five thousand, two hundred".