5956917120 has 1024 divisors, whose sum is σ = 27237427200. Its totient is φ = 1204346880.

The previous prime is 5956917103. The next prime is 5956917121. The reversal of 5956917120 is 217196595.

5956917120 is a `hidden beast` number, since 59 + 569 + 17 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956917121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160997742 + ... + 160997778.

It is an arithmetic number, because the mean of its divisors is an integer number (26599050).

Almost surely, 2^5956917120 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 5956917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618713600).

5956917120 is an abundant number, since it is smaller than the sum of its proper divisors (21280510080).

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

5956917120 is a wasteful number, since it uses less digits than its factorization.

5956917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 5956917120 is about 77181.0671084561. The cubic root of 5956917120 is about 1812.7608751414.

The spelling of 5956917120 in words is "five billion, nine hundred fifty-six million, nine hundred seventeen thousand, one hundred twenty".