5034152800 has 72 divisors (see below), whose sum is σ = 12343741200. Its totient is φ = 2004794880.

The previous prime is 5034152791. The next prime is 5034152821. The reversal of 5034152800 is 82514305.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 169461 + ... + 196939.

It is an arithmetic number, because the mean of its divisors is an integer number (171440850).

Almost surely, 2^5034152800 is an apocalyptic number.

5034152800 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 5034152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171870600).

5034152800 is an abundant number, since it is smaller than the sum of its proper divisors (7309588400).

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

5034152800 is a wasteful number, since it uses less digits than its factorization.

5034152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27728 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5034152800 is about 70951.7638963261. The cubic root of 5034152800 is about 1713.8604799777.

The spelling of 5034152800 in words is "five billion, thirty-four million, one hundred fifty-two thousand, eight hundred".