5384436610752 has 224 divisors, whose sum is σ = 16203840998400. Its totient is φ = 1752371905536.

The previous prime is 5384436610739. The next prime is 5384436610759. The reversal of 5384436610752 is 2570166344835.

5384436610752 is a `hidden beast` number, since 5 + 3 + 84 + 436 + 61 + 0 + 75 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5384436610759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205586074 + ... + 205612262.

Almost surely, 2^{5384436610752} 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 5384436610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101920499200).

5384436610752 is an abundant number, since it is smaller than the sum of its proper divisors (10819404387648).

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

5384436610752 is a wasteful number, since it uses less digits than its factorization.

5384436610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29020 (or 29004 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5384436610752 in words is "five trillion, three hundred eighty-four billion, four hundred thirty-six million, six hundred ten thousand, seven hundred fifty-two".