5235062400 has 480 divisors, whose sum is σ = 20354426400. Its totient is φ = 1321297920.

The previous prime is 5235062387. The next prime is 5235062431. The reversal of 5235062400 is 42605325.

5235062400 is a `hidden beast` number, since 5 + 2 + 35 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 4924269 + ... + 4925331.

It is an arithmetic number, because the mean of its divisors is an integer number (42405055).

Almost surely, 2^5235062400 is an apocalyptic number.

5235062400 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 5235062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177213200).

5235062400 is an abundant number, since it is smaller than the sum of its proper divisors (15119364000).

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

5235062400 is a wasteful number, since it uses less digits than its factorization.

5235062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5235062400 is about 72353.7310717284. The cubic root of 5235062400 is about 1736.3633916866.

Adding to 5235062400 its reverse (42605325), we get a palindrome (5277667725).

The spelling of 5235062400 in words is "five billion, two hundred thirty-five million, sixty-two thousand, four hundred".