5088724300800 has 2640 divisors, whose sum is σ = 22832921075712. Its totient is φ = 1095258931200.

The previous prime is 5088724300771. The next prime is 5088724300811. The reversal of 5088724300800 is 80034278805.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19348761469 + ... + 19348761731.

Almost surely, 2^{5088724300800} is an apocalyptic number.

5088724300800 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 5088724300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416460537856).

5088724300800 is an abundant number, since it is smaller than the sum of its proper divisors (17744196774912).

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

5088724300800 is a wasteful number, since it uses less digits than its factorization.

5088724300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5088724300800 in words is "five trillion, eighty-eight billion, seven hundred twenty-four million, three hundred thousand, eight hundred".