11551531141000 has 32 divisors (see below), whose sum is σ = 27030582872280. Its totient is φ = 4620612456000.

The previous prime is 11551531140977. The next prime is 11551531141001. The reversal of 11551531141000 is 14113515511.

It can be written as a sum of positive squares in 4 ways, for example, as 1529026225444 + 10022504915556 = 1236538^2 + 3165834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11551531141000.

It is not an unprimeable number, because it can be changed into a prime (11551531141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5775764571 + ... + 5775766570.

Almost surely, 2^{11551531141000} is an apocalyptic number.

11551531141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11551531141000 is an abundant number, since it is smaller than the sum of its proper divisors (15479051731280).

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

11551531141000 is a wasteful number, since it uses less digits than its factorization.

11551531141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551531162 (or 11551531148 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 28.

Adding to 11551531141000 its reverse (14113515511), we get a palindrome (11565644656511).

The spelling of 11551531141000 in words is "eleven trillion, five hundred fifty-one billion, five hundred thirty-one million, one hundred forty-one thousand".