5960429133120 has 5376 divisors, whose sum is σ = 30261753446400. Its totient is φ = 1086898176000.

The previous prime is 5960429133007. The next prime is 5960429133163. The reversal of 5960429133120 is 213319240695.

5960429133120 is a `hidden beast` number, since 5 + 9 + 6 + 0 + 4 + 291 + 331 + 20 = 666.

It is a super-3 number, since 3×5960429133120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 112460927014 + ... + 112460927066.

It is an arithmetic number, because the mean of its divisors is an integer number (5629046400).

Almost surely, 2^{5960429133120} 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 5960429133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130876723200).

5960429133120 is an abundant number, since it is smaller than the sum of its proper divisors (24301324313280).

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

5960429133120 is a wasteful number, since it uses less digits than its factorization.

5960429133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 5960429133120 in words is "five trillion, nine hundred sixty billion, four hundred twenty-nine million, one hundred thirty-three thousand, one hundred twenty".