5008712889600 has 2592 divisors, whose sum is σ = 22153017532800. Its totient is φ = 1117414932480.

The previous prime is 5008712889599. The next prime is 5008712889619. The reversal of 5008712889600 is 69882178005.

5008712889600 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 7 + 1 + 28 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45951494346 + ... + 45951494454.

Almost surely, 2^{5008712889600} is an apocalyptic number.

5008712889600 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 5008712889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076508766400).

5008712889600 is an abundant number, since it is smaller than the sum of its proper divisors (17144304643200).

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

5008712889600 is an equidigital number, since it uses as much as digits as its factorization.

5008712889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 5008712889600 in words is "five trillion, eight billion, seven hundred twelve million, eight hundred eighty-nine thousand, six hundred".