5023636800 has 1008 divisors, whose sum is σ = 21715610112. Its totient is φ = 1006387200.

The previous prime is 5023636771. The next prime is 5023636801. The reversal of 5023636800 is 86363205.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023636801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94785574 + ... + 94785626.

It is an arithmetic number, because the mean of its divisors is an integer number (21543264).

Almost surely, 2^5023636800 is an apocalyptic number.

5023636800 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 5023636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857805056).

5023636800 is an abundant number, since it is smaller than the sum of its proper divisors (16691973312).

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

5023636800 is a wasteful number, since it uses less digits than its factorization.

5023636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5023636800 is about 70877.6184701490. The cubic root of 5023636800 is about 1712.6662690427. Note that the first 3 decimals are identical.

The spelling of 5023636800 in words is "five billion, twenty-three million, six hundred thirty-six thousand, eight hundred".