2355116500 has 192 divisors, whose sum is σ = 6105415680. Its totient is φ = 784080000.

The previous prime is 2355116497. The next prime is 2355116501. The reversal of 2355116500 is 56115532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355116501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3239137 + ... + 3239863.

It is an arithmetic number, because the mean of its divisors is an integer number (31799040).

Almost surely, 2^2355116500 is an apocalyptic number.

2355116500 is a gapful number since it is divisible by the number (20) 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 2355116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052707840).

2355116500 is an abundant number, since it is smaller than the sum of its proper divisors (3750299180).

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

2355116500 is a wasteful number, since it uses less digits than its factorization.

2355116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 2355116500 is about 48529.5425488434. The cubic root of 2355116500 is about 1330.4670754785.

The spelling of 2355116500 in words is "two billion, three hundred fifty-five million, one hundred sixteen thousand, five hundred".