11551615104 has 128 divisors (see below), whose sum is σ = 31249209600. Its totient is φ = 3780182016.

The previous prime is 11551615093. The next prime is 11551615147. The reversal of 11551615104 is 40151615511.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5853862 + ... + 5855834.

It is an arithmetic number, because the mean of its divisors is an integer number (244134450).

Almost surely, 2^11551615104 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 11551615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624604800).

11551615104 is an abundant number, since it is smaller than the sum of its proper divisors (19697594496).

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

11551615104 is a wasteful number, since it uses less digits than its factorization.

11551615104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 11551615104 in words is "eleven billion, five hundred fifty-one million, six hundred fifteen thousand, one hundred four".