11515606000 has 80 divisors (see below), whose sum is σ = 28115575488. Its totient is φ = 4561440000.

The previous prime is 11515605977. The next prime is 11515606043. The reversal of 11515606000 is 60651511.

11515606000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 178050 + ... + 233950.

Almost surely, 2^11515606000 is an apocalyptic number.

11515606000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11515606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057787744).

11515606000 is an abundant number, since it is smaller than the sum of its proper divisors (16599969488).

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

11515606000 is a wasteful number, since it uses less digits than its factorization.

11515606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56027 (or 56011 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 11515606000 in words is "eleven billion, five hundred fifteen million, six hundred six thousand".