5965785000 has 640 divisors, whose sum is σ = 24292224000. Its totient is φ = 1327968000.

The previous prime is 5965784999. The next prime is 5965785043. The reversal of 5965785000 is 5875695.

5965785000 is a `hidden beast` number, since 5 + 96 + 57 + 8 + 500 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55754947 + ... + 55755053.

It is an arithmetic number, because the mean of its divisors is an integer number (37956600).

Almost surely, 2^5965785000 is an apocalyptic number.

5965785000 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 5965785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146112000).

5965785000 is an abundant number, since it is smaller than the sum of its proper divisors (18326439000).

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

5965785000 is a wasteful number, since it uses less digits than its factorization.

5965785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5965785000 is about 77238.4942887936. The cubic root of 5965785000 is about 1813.6599629983.

The spelling of 5965785000 in words is "five billion, nine hundred sixty-five million, seven hundred eighty-five thousand".