5387258743200 has 180 divisors, whose sum is σ = 19646285350230. Its totient is φ = 1436602314240.

The previous prime is 5387258743147. The next prime is 5387258743219. The reversal of 5387258743200 is 23478527835.

5387258743200 is a `hidden beast` number, since 5 + 38 + 7 + 2 + 587 + 4 + 3 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2906520341904 + 2480738401296 = 1704852^2 + 1575036^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41503555 + ... + 41633154.

Almost surely, 2^{5387258743200} is an apocalyptic number.

5387258743200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5387258743200 is an abundant number, since it is smaller than the sum of its proper divisors (14259026607030).

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

5387258743200 is a wasteful number, since it uses less digits than its factorization.

5387258743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83136741 (or 83136719 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5387258743200 in words is "five trillion, three hundred eighty-seven billion, two hundred fifty-eight million, seven hundred forty-three thousand, two hundred".