5023785600 has 576 divisors, whose sum is σ = 19651956480. Its totient is φ = 1216512000.

The previous prime is 5023785577. The next prime is 5023785619. The reversal of 5023785600 is 65873205.

5023785600 is a `hidden beast` number, since 5 + 0 + 23 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15177435 + ... + 15177765.

It is an arithmetic number, because the mean of its divisors is an integer number (34117980).

Almost surely, 2^5023785600 is an apocalyptic number.

5023785600 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 5023785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825978240).

5023785600 is an abundant number, since it is smaller than the sum of its proper divisors (14628170880).

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

5023785600 is a wasteful number, since it uses less digits than its factorization.

5023785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5023785600 is about 70878.6681590449. The cubic root of 5023785600 is about 1712.6831785869.

The spelling of 5023785600 in words is "five billion, twenty-three million, seven hundred eighty-five thousand, six hundred".