11515054400000 has 120 divisors (see below), whose sum is σ = 28757686460580. Its totient is φ = 4606021120000.

The previous prime is 11515054399993. The next prime is 11515054400021. The reversal of 11515054400000 is 445051511.

It can be written as a sum of positive squares in 6 ways, for example, as 1158912534784 + 10356141865216 = 1076528^2 + 3218096^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1998455 + ... + 5198454.

Almost surely, 2^{11515054400000} is an apocalyptic number.

11515054400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11515054400000 is an abundant number, since it is smaller than the sum of its proper divisors (17242632060580).

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

11515054400000 is an frugal number, since it uses more digits than its factorization.

11515054400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196952 (or 7196916 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 11515054400000 its reverse (445051511), we get a palindrome (11515499451511).

The spelling of 11515054400000 in words is "eleven trillion, five hundred fifteen billion, fifty-four million, four hundred thousand".