5385482588160 has 1040 divisors, whose sum is σ = 19973566614144. Its totient is φ = 1387216502784.

The previous prime is 5385482588107. The next prime is 5385482588201. The reversal of 5385482588160 is 618852845835.

It is a happy number.

5385482588160 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 48 + 2 + 588 + 1 + 6 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 7347179154 + ... + 7347179886.

Almost surely, 2^{5385482588160} 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 5385482588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986783307072).

5385482588160 is an abundant number, since it is smaller than the sum of its proper divisors (14588084025984).

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

5385482588160 is a wasteful number, since it uses less digits than its factorization.

5385482588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 5385482588160 in words is "five trillion, three hundred eighty-five billion, four hundred eighty-two million, five hundred eighty-eight thousand, one hundred sixty".