5511558325248 has 704 divisors, whose sum is σ = 17040184358400. Its totient is φ = 1758784389120.

The previous prime is 5511558325219. The next prime is 5511558325253. The reversal of 5511558325248 is 8425238551155.

5511558325248 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 5 + 583 + 2 + 52 + 4 + 8 = 666.

It is a super-2 number, since 2×5511558325248² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5511558325194 and 5511558325203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10957372165 + ... + 10957372667.

Almost surely, 2^{5511558325248} 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 5511558325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520092179200).

5511558325248 is an abundant number, since it is smaller than the sum of its proper divisors (11528626033152).

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

5511558325248 is a wasteful number, since it uses less digits than its factorization.

5511558325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 731 counting only the distinct ones).

The product of its digits is 9600000, while the sum is 54.

The spelling of 5511558325248 in words is "five trillion, five hundred eleven billion, five hundred fifty-eight million, three hundred twenty-five thousand, two hundred forty-eight".