5961600000000 has 1260 divisors, whose sum is σ = 23230570137192. Its totient is φ = 1520640000000.

The previous prime is 5961599999921. The next prime is 5961600000019. The reversal of 5961600000000 is 61695.

5961600000000 is a `hidden beast` number, since 59 + 6 + 1 + 600 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5961600000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 259199999989 + ... + 259200000011.

Almost surely, 2^{5961600000000} is an apocalyptic number.

5961600000000 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 5961600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615285068596).

5961600000000 is an abundant number, since it is smaller than the sum of its proper divisors (17268970137192).

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

5961600000000 is an frugal number, since it uses more digits than its factorization.

5961600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 33 counting only the distinct ones).

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

Adding to 5961600000000 its reverse (61695), we get a palindrome (5961600061695).

The spelling of 5961600000000 in words is "five trillion, nine hundred sixty-one billion, six hundred million", and thus it is an aban number.