5184137355264 has 1680 divisors, whose sum is σ = 19476472398768. Its totient is φ = 1365069791232.

The previous prime is 5184137355223. The next prime is 5184137355343. The reversal of 5184137355264 is 4625537314815.

It is a happy number.

5184137355264 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 1 + 373 + 5 + 5 + 264 = 666.

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

Its product of digits (12096000) is a multiple of the sum of its prime divisors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 5184137355264.

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, 45877321672 + ... + 45877321784.

Almost surely, 2^{5184137355264} is an apocalyptic number.

5184137355264 is a gapful number since it is divisible by the number (54) 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 5184137355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738236199384).

5184137355264 is an abundant number, since it is smaller than the sum of its proper divisors (14292335043504).

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

5184137355264 is a wasteful number, since it uses less digits than its factorization.

5184137355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 225 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 5184137355264 in words is "five trillion, one hundred eighty-four billion, one hundred thirty-seven million, three hundred fifty-five thousand, two hundred sixty-four".