5875554960 has 480 divisors, whose sum is σ = 23022455040. Its totient is φ = 1331712000.

The previous prime is 5875554941. The next prime is 5875554967. The reversal of 5875554960 is 694555785.

5875554960 is a `hidden beast` number, since 5 + 87 + 5 + 554 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5875554897 and 5875554906.

It is not an unprimeable number, because it can be changed into a prime (5875554967) 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 95 ways as a sum of consecutive naturals, for example, 38910885 + ... + 38911035.

It is an arithmetic number, because the mean of its divisors is an integer number (47963448).

Almost surely, 2^5875554960 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 5875554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511227520).

5875554960 is an abundant number, since it is smaller than the sum of its proper divisors (17146900080).

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

5875554960 is a wasteful number, since it uses less digits than its factorization.

5875554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 5875554960 is about 76652.1686581665. The cubic root of 5875554960 is about 1804.4698540002.

The spelling of 5875554960 in words is "five billion, eight hundred seventy-five million, five hundred fifty-four thousand, nine hundred sixty".