5958961152 has 96 divisors (see below), whose sum is σ = 16089091200. Its totient is φ = 1961017344.

The previous prime is 5958961123. The next prime is 5958961157. The reversal of 5958961152 is 2511698595.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5958961152² = 71018436022090334208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5958961095 and 5958961104.

It is not an unprimeable number, because it can be changed into a prime (5958961157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479238 + ... + 491514.

It is an arithmetic number, because the mean of its divisors is an integer number (167594700).

Almost surely, 2^5958961152 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 5958961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044545600).

5958961152 is an abundant number, since it is smaller than the sum of its proper divisors (10130130048).

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

5958961152 is a wasteful number, since it uses less digits than its factorization.

5958961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381 (or 12361 counting only the distinct ones).

The product of its digits is 972000, while the sum is 51.

The square root of 5958961152 is about 77194.3077694204. The cubic root of 5958961152 is about 1812.9681925301.

The spelling of 5958961152 in words is "five billion, nine hundred fifty-eight million, nine hundred sixty-one thousand, one hundred fifty-two".