5961600000 has 660 divisors, whose sum is σ = 23219170128. Its totient is φ = 1520640000.

The previous prime is 5961599993. The next prime is 5961600053. The reversal of 5961600000 is 61695.

5961600000 is a `hidden beast` number, since 59 + 6 + 1 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 259199989 + ... + 259200011.

Almost surely, 2^5961600000 is an apocalyptic number.

5961600000 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 5961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609585064).

5961600000 is an abundant number, since it is smaller than the sum of its proper divisors (17257570128).

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

5961600000 is an frugal number, since it uses more digits than its factorization.

5961600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

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

The square root of 5961600000 is about 77211.3981222980. The cubic root of 5961600000 is about 1813.2357694528.

Adding to 5961600000 its reverse (61695), we get a palindrome (5961661695).

The spelling of 5961600000 in words is "five billion, nine hundred sixty-one million, six hundred thousand".