5961984480 has 192 divisors, whose sum is σ = 21540556800. Its totient is φ = 1538542080.

The previous prime is 5961984433. The next prime is 5961984487. The reversal of 5961984480 is 844891695.

5961984480 is a `hidden beast` number, since 5 + 9 + 6 + 198 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961984487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111661 + ... + 156179.

It is an arithmetic number, because the mean of its divisors is an integer number (112190400).

Almost surely, 2^5961984480 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 5961984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10770278400).

5961984480 is an abundant number, since it is smaller than the sum of its proper divisors (15578572320).

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

5961984480 is a wasteful number, since it uses less digits than its factorization.

5961984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44574 (or 44560 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 5961984480 is about 77213.8878699940. The cubic root of 5961984480 is about 1813.2747488041.

The spelling of 5961984480 in words is "five billion, nine hundred sixty-one million, nine hundred eighty-four thousand, four hundred eighty".