5786285920900 has 81 divisors (see below), whose sum is σ = 12872153714287. Its totient is φ = 2257677923200.

The previous prime is 5786285920897. The next prime is 5786285920903. The reversal of 5786285920900 is 90295826875.

The square root of 5786285920900 is 2405470.

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

It is an interprime number because it is at equal distance from previous prime (5786285920897) and next prime (5786285920903).

It can be written as a sum of positive squares in 4 ways, for example, as 2435541026884 + 3350744894016 = 1560622^2 + 1830504^2 .

It is a super-2 number, since 2×5786285920900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5786285920903) 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, 986239767 + ... + 986245633.

Almost surely, 2^{5786285920900} is an apocalyptic number.

5786285920900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5786285920900 is the 2405470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786285920900

5786285920900 is an abundant number, since it is smaller than the sum of its proper divisors (7085867793387).

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

5786285920900 is an frugal number, since it uses more digits than its factorization.

5786285920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 5786285920900 in words is "five trillion, seven hundred eighty-six billion, two hundred eighty-five million, nine hundred twenty thousand, nine hundred".