5760052100 has 144 divisors (see below), whose sum is σ = 14255087616. Its totient is φ = 2001552000.

The previous prime is 5760052091. The next prime is 5760052121. The reversal of 5760052100 is 12500675.

It is a self number, because there is not a number n which added to its sum of digits gives 5760052100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2221805 + ... + 2224395.

It is an arithmetic number, because the mean of its divisors is an integer number (98993664).

Almost surely, 2^5760052100 is an apocalyptic number.

5760052100 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 5760052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127543808).

5760052100 is an abundant number, since it is smaller than the sum of its proper divisors (8495035516).

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

5760052100 is a wasteful number, since it uses less digits than its factorization.

5760052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 5760052100 is about 75895.0070821526. The cubic root of 5760052100 is about 1792.5673032637.

Adding to 5760052100 its reverse (12500675), we get a palindrome (5772552775).

The spelling of 5760052100 in words is "five billion, seven hundred sixty million, fifty-two thousand, one hundred".