5511523026240 has 1008 divisors, whose sum is σ = 24164708128704. Its totient is φ = 1140133478400.

The previous prime is 5511523026223. The next prime is 5511523026241. The reversal of 5511523026240 is 426203251155.

5511523026240 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 5 + 23 + 0 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5511523026195 and 5511523026204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511523026241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352368820 + ... + 352384460.

Almost surely, 2^{5511523026240} 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 5511523026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082354064352).

5511523026240 is an abundant number, since it is smaller than the sum of its proper divisors (18653185102464).

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

5511523026240 is a wasteful number, since it uses less digits than its factorization.

5511523026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 5511523026240 its reverse (426203251155), we get a palindrome (5937726277395).

The spelling of 5511523026240 in words is "five trillion, five hundred eleven billion, five hundred twenty-three million, twenty-six thousand, two hundred forty".