5485588359264 has 768 divisors, whose sum is σ = 18602216559360. Its totient is φ = 1557701591040.

The previous prime is 5485588359253. The next prime is 5485588359283. The reversal of 5485588359264 is 4629538855845.

5485588359264 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 5 + 8 + 8 + 359 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1658880000) is a multiple of the sum of its prime factors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 5485588359192 and 5485588359201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2092935874 + ... + 2092938494.

It is an arithmetic number, because the mean of its divisors is an integer number (24221636145).

Almost surely, 2^{5485588359264} is an apocalyptic number.

5485588359264 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 5485588359264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301108279680).

5485588359264 is an abundant number, since it is smaller than the sum of its proper divisors (13116628200096).

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

5485588359264 is a wasteful number, since it uses less digits than its factorization.

5485588359264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2866 counting only the distinct ones).

The product of its digits is 1658880000, while the sum is 72.

The spelling of 5485588359264 in words is "five trillion, four hundred eighty-five billion, five hundred eighty-eight million, three hundred fifty-nine thousand, two hundred sixty-four".