5152587338304 has 336 divisors, whose sum is σ = 18180835246080. Its totient is φ = 1362735221760.

The previous prime is 5152587338203. The next prime is 5152587338387. The reversal of 5152587338304 is 4038337852515.

5152587338304 is a `hidden beast` number, since 5 + 1 + 5 + 258 + 7 + 3 + 383 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978657 + ... + 3770975.

Almost surely, 2^{5152587338304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152587338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090417623040).

5152587338304 is an abundant number, since it is smaller than the sum of its proper divisors (13028247907776).

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

5152587338304 is a wasteful number, since it uses less digits than its factorization.

5152587338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792398 (or 1792385 counting only the distinct ones).

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

The spelling of 5152587338304 in words is "five trillion, one hundred fifty-two billion, five hundred eighty-seven million, three hundred thirty-eight thousand, three hundred four".