11615506560 has 384 divisors, whose sum is σ = 47323560960. Its totient is φ = 2569052160.

The previous prime is 11615506543. The next prime is 11615506571. The reversal of 11615506560 is 6560551611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245274 + ... + 1254566.

It is an arithmetic number, because the mean of its divisors is an integer number (123238440).

Almost surely, 2^11615506560 is an apocalyptic number.

11615506560 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 11615506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23661780480).

11615506560 is an abundant number, since it is smaller than the sum of its proper divisors (35708054400).

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

11615506560 is a wasteful number, since it uses less digits than its factorization.

11615506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11615506560 in words is "eleven billion, six hundred fifteen million, five hundred six thousand, five hundred sixty".