11160192960 has 1008 divisors, whose sum is σ = 48378526560. Its totient is φ = 2438553600.

The previous prime is 11160192949. The next prime is 11160192977. The reversal of 11160192960 is 6929106111.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110496910 + ... + 110497010.

It is an arithmetic number, because the mean of its divisors is an integer number (47994570).

Almost surely, 2^11160192960 is an apocalyptic number.

11160192960 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 11160192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24189263280).

11160192960 is an abundant number, since it is smaller than the sum of its proper divisors (37218333600).

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

11160192960 is a wasteful number, since it uses less digits than its factorization.

11160192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 11160192960 in words is "eleven billion, one hundred sixty million, one hundred ninety-two thousand, nine hundred sixty".