11132868960 has 192 divisors, whose sum is σ = 39013954560. Its totient is φ = 2965040640.

The previous prime is 11132868853. The next prime is 11132868961. The reversal of 11132868960 is 6986823111.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132868961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6146455 + ... + 6148265.

It is an arithmetic number, because the mean of its divisors is an integer number (203197680).

Almost surely, 2^11132868960 is an apocalyptic number.

11132868960 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 11132868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506977280).

11132868960 is an abundant number, since it is smaller than the sum of its proper divisors (27881085600).

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

11132868960 is a wasteful number, since it uses less digits than its factorization.

11132868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11132868960 in words is "eleven billion, one hundred thirty-two million, eight hundred sixty-eight thousand, nine hundred sixty".