5783880700900 has 81 divisors (see below), whose sum is σ = 13000306502001. Its totient is φ = 2233505258880.

The previous prime is 5783880700883. The next prime is 5783880700907. The reversal of 5783880700900 is 90070883875.

The square root of 5783880700900 is 2404970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5032691009956 + 751189690944 = 2243366^2 + 866712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5783880700907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 697437154 + ... + 697445446.

Almost surely, 2^{5783880700900} is an apocalyptic number.

5783880700900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5783880700900 is the 2404970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5783880700900

5783880700900 is an abundant number, since it is smaller than the sum of its proper divisors (7216425801101).

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

5783880700900 is an frugal number, since it uses more digits than its factorization.

5783880700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 5783880700900 in words is "five trillion, seven hundred eighty-three billion, eight hundred eighty million, seven hundred thousand, nine hundred".