5188722624000 has 960 divisors, whose sum is σ = 19834260526080. Its totient is φ = 1351307059200.

The previous prime is 5188722623993. The next prime is 5188722624013. The reversal of 5188722624000 is 4262278815.

5188722624000 is a `hidden beast` number, since 5 + 18 + 8 + 7 + 2 + 2 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668732121 + ... + 668739879.

It is an arithmetic number, because the mean of its divisors is an integer number (20660688048).

Almost surely, 2^{5188722624000} is an apocalyptic number.

5188722624000 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 5188722624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917130263040).

5188722624000 is an abundant number, since it is smaller than the sum of its proper divisors (14645537902080).

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

5188722624000 is an frugal number, since it uses more digits than its factorization.

5188722624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7812 counting only the distinct ones).

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

The spelling of 5188722624000 in words is "five trillion, one hundred eighty-eight billion, seven hundred twenty-two million, six hundred twenty-four thousand".