5961361728 has 112 divisors (see below), whose sum is σ = 18191845760. Its totient is φ = 1687578624.

The previous prime is 5961361709. The next prime is 5961361733. The reversal of 5961361728 is 8271631695.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 126150 + ... + 166842.

Almost surely, 2^5961361728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095922880).

5961361728 is an abundant number, since it is smaller than the sum of its proper divisors (12230484032).

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

5961361728 is a wasteful number, since it uses less digits than its factorization.

5961361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40824 (or 40814 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 5961361728 is about 77209.8551222575. The cubic root of 5961361728 is about 1813.2116121198.

The spelling of 5961361728 in words is "five billion, nine hundred sixty-one million, three hundred sixty-one thousand, seven hundred twenty-eight".