5895120000 has 960 divisors, whose sum is σ = 25428110400. Its totient is φ = 1182720000.

The previous prime is 5895119969. The next prime is 5895120013. The reversal of 5895120000 is 215985.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5895120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 203279986 + ... + 203280014.

It is an arithmetic number, because the mean of its divisors is an integer number (26487615).

Almost surely, 2^5895120000 is an apocalyptic number.

5895120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5895120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714055200).

5895120000 is an abundant number, since it is smaller than the sum of its proper divisors (19532990400).

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

5895120000 is a wasteful number, since it uses less digits than its factorization.

5895120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5895120000 is about 76779.6848131067. The cubic root of 5895120000 is about 1806.4705393562.

Adding to 5895120000 its reverse (215985), we get a palindrome (5895335985).

The spelling of 5895120000 in words is "five billion, eight hundred ninety-five million, one hundred twenty thousand".