5575686133248 has 960 divisors, whose sum is σ = 21403016785920. Its totient is φ = 1401421824000.

The previous prime is 5575686133247. The next prime is 5575686133261. The reversal of 5575686133248 is 8423316865755.

5575686133248 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 6 + 8 + 613 + 3 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×5575686133248² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575686133243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362969088 + ... + 362984448.

It is an arithmetic number, because the mean of its divisors is an integer number (22294809152).

Almost surely, 2^{5575686133248} 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 5575686133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701508392960).

5575686133248 is an abundant number, since it is smaller than the sum of its proper divisors (15827330652672).

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

5575686133248 is a wasteful number, since it uses less digits than its factorization.

5575686133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15448 (or 15415 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 5575686133248 in words is "five trillion, five hundred seventy-five billion, six hundred eighty-six million, one hundred thirty-three thousand, two hundred forty-eight".