5205024315504 has 320 divisors, whose sum is σ = 17192380867200. Its totient is φ = 1493505589248.

The previous prime is 5205024315451. The next prime is 5205024315511. The reversal of 5205024315504 is 4055134205025.

5205024315504 is a `hidden beast` number, since 5 + 2 + 0 + 50 + 24 + 31 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10156362 + ... + 10656534.

It is an arithmetic number, because the mean of its divisors is an integer number (53726190210).

Almost surely, 2^{5205024315504} is an apocalyptic number.

5205024315504 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 5205024315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596190433600).

5205024315504 is an abundant number, since it is smaller than the sum of its proper divisors (11987356551696).

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

5205024315504 is a wasteful number, since it uses less digits than its factorization.

5205024315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500329 (or 500317 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 5205024315504 in words is "five trillion, two hundred five billion, twenty-four million, three hundred fifteen thousand, five hundred four".