5035052400 has 240 divisors, whose sum is σ = 18494006784. Its totient is φ = 1147069440.

The previous prime is 5035052327. The next prime is 5035052453. The reversal of 5035052400 is 42505305.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132397 + ... + 3134003.

Almost surely, 2^5035052400 is an apocalyptic number.

5035052400 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 5035052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247003392).

5035052400 is an abundant number, since it is smaller than the sum of its proper divisors (13458954384).

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

5035052400 is a wasteful number, since it uses less digits than its factorization.

5035052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5035052400 is about 70958.1031313549. The cubic root of 5035052400 is about 1713.9625625007.

Adding to 5035052400 its reverse (42505305), we get a palindrome (5077557705).

The spelling of 5035052400 in words is "five billion, thirty-five million, fifty-two thousand, four hundred".