5782985600 has 192 divisors, whose sum is σ = 16391808000. Its totient is φ = 1974835200.

The previous prime is 5782985569. The next prime is 5782985603. The reversal of 5782985600 is 65892875.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782985603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9654101 + ... + 9654699.

It is an arithmetic number, because the mean of its divisors is an integer number (85374000).

Almost surely, 2^5782985600 is an apocalyptic number.

5782985600 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 5782985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904000).

5782985600 is an abundant number, since it is smaller than the sum of its proper divisors (10608822400).

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

5782985600 is a wasteful number, since it uses less digits than its factorization.

5782985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The square root of 5782985600 is about 76045.9440075537. The cubic root of 5782985600 is about 1794.9431731712.

The spelling of 5782985600 in words is "five billion, seven hundred eighty-two million, nine hundred eighty-five thousand, six hundred".