5189038848000 has 1440 divisors, whose sum is σ = 22505549386320. Its totient is φ = 1185833779200.

The previous prime is 5189038847999. The next prime is 5189038848017. The reversal of 5189038848000 is 8488309815.

5189038848000 is a `hidden beast` number, since 5 + 1 + 89 + 0 + 3 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5189038848000² (a number of 26 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1016061447 + ... + 1016066553.

Almost surely, 2^{5189038848000} is an apocalyptic number.

5189038848000 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 5189038848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252774693160).

5189038848000 is an abundant number, since it is smaller than the sum of its proper divisors (17316510538320).

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

5189038848000 is an equidigital number, since it uses as much as digits as its factorization.

5189038848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5189038848000 in words is "five trillion, one hundred eighty-nine billion, thirty-eight million, eight hundred forty-eight thousand".