5961418650600 has 384 divisors, whose sum is σ = 21630681262080. Its totient is φ = 1330033536000.

The previous prime is 5961418650569. The next prime is 5961418650617. The reversal of 5961418650600 is 60568141695.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33473389 + ... + 33651011.

It is an arithmetic number, because the mean of its divisors is an integer number (56329899120).

Almost surely, 2^{5961418650600} is an apocalyptic number.

5961418650600 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 5961418650600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815340631040).

5961418650600 is an abundant number, since it is smaller than the sum of its proper divisors (15669262611480).

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

5961418650600 is a wasteful number, since it uses less digits than its factorization.

5961418650600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177841 (or 177832 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 5961418650600 in words is "five trillion, nine hundred sixty-one billion, four hundred eighteen million, six hundred fifty thousand, six hundred".