5132992800 has 432 divisors, whose sum is σ = 18869917248. Its totient is φ = 1204684800.

The previous prime is 5132992763. The next prime is 5132992807. The reversal of 5132992800 is 82992315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5132992807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 16504645 + ... + 16504955.

It is an arithmetic number, because the mean of its divisors is an integer number (43680364).

Almost surely, 2^5132992800 is an apocalyptic number.

5132992800 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 5132992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434958624).

5132992800 is an abundant number, since it is smaller than the sum of its proper divisors (13736924448).

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

5132992800 is a wasteful number, since it uses less digits than its factorization.

5132992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5132992800 is about 71644.9077045954. The cubic root of 5132992800 is about 1725.0044444330.

The spelling of 5132992800 in words is "five billion, one hundred thirty-two million, nine hundred ninety-two thousand, eight hundred".