5790000975 has 144 divisors (see below), whose sum is σ = 11052328320. Its totient is φ = 2651616000.

The previous prime is 5790000961. The next prime is 5790000977.

It is a happy number.

5790000975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5790000975 - 2⁶ = 5790000911 is a prime.

It is a super-2 number, since 2×5790000975² = 67048222581001901250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790000977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53119221 + ... + 53119329.

It is an arithmetic number, because the mean of its divisors is an integer number (76752280).

Almost surely, 2^5790000975 is an apocalyptic number.

5790000975 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5790000975 is a deficient number, since it is larger than the sum of its proper divisors (5262327345).

5790000975 is a wasteful number, since it uses less digits than its factorization.

5790000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 42.

The square root of 5790000975 is about 76092.0559257009. The cubic root of 5790000975 is about 1795.6686986968.

It can be divided in two parts, 5790000 and 975, that added together give a palindrome (5790975).

The spelling of 5790000975 in words is "five billion, seven hundred ninety million, nine hundred seventy-five", and thus it is an aban number.