5825635200 has 1152 divisors, whose sum is σ = 26991843840. Its totient is φ = 1161216000.

The previous prime is 5825635199. The next prime is 5825635229. The reversal of 5825635200 is 25365285.

It is a happy number.

5825635200 is a `hidden beast` number, since 5 + 82 + 56 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82051165 + ... + 82051235.

It is an arithmetic number, because the mean of its divisors is an integer number (23430420).

Almost surely, 2^5825635200 is an apocalyptic number.

5825635200 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 5825635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495921920).

5825635200 is an abundant number, since it is smaller than the sum of its proper divisors (21166208640).

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

5825635200 is a wasteful number, since it uses less digits than its factorization.

5825635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5825635200 is about 76325.8488324892. The cubic root of 5825635200 is about 1799.3449468282.

The spelling of 5825635200 in words is "five billion, eight hundred twenty-five million, six hundred thirty-five thousand, two hundred".