1161505228688 has 80 divisors (see below), whose sum is σ = 2587961800320. Its totient is φ = 494682743808.

The previous prime is 1161505228651. The next prime is 1161505228691. The reversal of 1161505228688 is 8868225051611.

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, 46044143 + ... + 46069361.

It is an arithmetic number, because the mean of its divisors is an integer number (32349522504).

Almost surely, 2^{1161505228688} 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 1161505228688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293980900160).

1161505228688 is an abundant number, since it is smaller than the sum of its proper divisors (1426456571632).

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

1161505228688 is a wasteful number, since it uses less digits than its factorization.

1161505228688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27784 (or 27778 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 53.

The spelling of 1161505228688 in words is "one trillion, one hundred sixty-one billion, five hundred five million, two hundred twenty-eight thousand, six hundred eighty-eight".