5384536063200 has 288 divisors, whose sum is σ = 22256083019520. Its totient is φ = 1230751065600.

The previous prime is 5384536063133. The next prime is 5384536063201. The reversal of 5384536063200 is 23606354835.

5384536063200 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 5 + 3 + 6 + 0 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384536063201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17654806 + ... + 17957205.

It is an arithmetic number, because the mean of its divisors is an integer number (77278066040).

Almost surely, 2^{5384536063200} is an apocalyptic number.

5384536063200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5384536063200 is an abundant number, since it is smaller than the sum of its proper divisors (16871546956320).

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

5384536063200 is a wasteful number, since it uses less digits than its factorization.

5384536063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35612047 (or 35612028 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 5384536063200 in words is "five trillion, three hundred eighty-four billion, five hundred thirty-six million, sixty-three thousand, two hundred".