5188545331200 has 2160 divisors, whose sum is σ = 24065821188864. Its totient is φ = 1076546764800.

The previous prime is 5188545331171. The next prime is 5188545331223. The reversal of 5188545331200 is 21335458815.

5188545331200 is a `hidden beast` number, since 5 + 1 + 88 + 545 + 3 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7664025262 + ... + 7664025938.

Almost surely, 2^{5188545331200} is an apocalyptic number.

5188545331200 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 5188545331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032910594432).

5188545331200 is an abundant number, since it is smaller than the sum of its proper divisors (18877275857664).

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

5188545331200 is an equidigital number, since it uses as much as digits as its factorization.

5188545331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5188545331200 in words is "five trillion, one hundred eighty-eight billion, five hundred forty-five million, three hundred thirty-one thousand, two hundred".