5235700800 has 672 divisors, whose sum is σ = 20953658880. Its totient is φ = 1128038400.

The previous prime is 5235700793. The next prime is 5235700823. The reversal of 5235700800 is 80075325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17054247 + ... + 17054553.

It is an arithmetic number, because the mean of its divisors is an integer number (31181040).

Almost surely, 2^5235700800 is an apocalyptic number.

5235700800 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 5235700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476829440).

5235700800 is an abundant number, since it is smaller than the sum of its proper divisors (15717958080).

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

5235700800 is a wasteful number, since it uses less digits than its factorization.

5235700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5235700800 is about 72358.1425963934. The cubic root of 5235700800 is about 1736.4339702362.

The spelling of 5235700800 in words is "five billion, two hundred thirty-five million, seven hundred thousand, eight hundred".