11511561425040 has 60 divisors (see below), whose sum is σ = 38659660454844. Its totient is φ = 3069749713152.

The previous prime is 11511561425029. The next prime is 11511561425047. The reversal of 11511561425040 is 4052416511511.

11511561425040 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 5 + 6 + 142 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8294330880144 + 3217230544896 = 2879988^2 + 1793664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 11511561424986 and 11511561425004.

It is not an unprimeable number, because it can be changed into a prime (11511561425047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7994139159 + ... + 7994140598.

Almost surely, 2^{11511561425040} is an apocalyptic number.

11511561425040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11511561425040 is an abundant number, since it is smaller than the sum of its proper divisors (27148099029804).

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

11511561425040 is a wasteful number, since it uses less digits than its factorization.

11511561425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988279776 (or 15988279767 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 11511561425040 its reverse (4052416511511), we get a palindrome (15563977936551).

The spelling of 11511561425040 in words is "eleven trillion, five hundred eleven billion, five hundred sixty-one million, four hundred twenty-five thousand, forty".