5956145760 has 96 divisors (see below), whose sum is σ = 18813537792. Its totient is φ = 1583930880.

The previous prime is 5956145737. The next prime is 5956145761. The reversal of 5956145760 is 675416595.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956145761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159255 + ... + 193065.

It is an arithmetic number, because the mean of its divisors is an integer number (195974352).

Almost surely, 2^5956145760 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 5956145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406768896).

5956145760 is an abundant number, since it is smaller than the sum of its proper divisors (12857392032).

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

5956145760 is a wasteful number, since it uses less digits than its factorization.

5956145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34196 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 5956145760 is about 77176.0698662480. The cubic root of 5956145760 is about 1812.6826270835.

The spelling of 5956145760 in words is "five billion, nine hundred fifty-six million, one hundred forty-five thousand, seven hundred sixty".