5957351904 has 96 divisors (see below), whose sum is σ = 18045780480. Its totient is φ = 1685555712.

The previous prime is 5957351893. The next prime is 5957351909. The reversal of 5957351904 is 4091537595.

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 (5957351909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26182 + ... + 112250.

It is an arithmetic number, because the mean of its divisors is an integer number (187976880).

Almost surely, 2^5957351904 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 5957351904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022890240).

5957351904 is an abundant number, since it is smaller than the sum of its proper divisors (12088428576).

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

5957351904 is a wasteful number, since it uses less digits than its factorization.

5957351904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86192 (or 86184 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The square root of 5957351904 is about 77183.8837063801. The cubic root of 5957351904 is about 1812.8049773861.

The spelling of 5957351904 in words is "five billion, nine hundred fifty-seven million, three hundred fifty-one thousand, nine hundred four".