11162928960 has 672 divisors, whose sum is σ = 42776802432. Its totient is φ = 2660106240.

The previous prime is 11162928947. The next prime is 11162928961. The reversal of 11162928960 is 6982926111.

11162928960 is a `hidden beast` number, since 1 + 11 + 629 + 2 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11162928960² (a number of 21 digits) contains 22 as substring.

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 (11162928961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134493079 + ... + 134493161.

It is an arithmetic number, because the mean of its divisors is an integer number (63655956).

Almost surely, 2^11162928960 is an apocalyptic number.

11162928960 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 11162928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388401216).

11162928960 is an abundant number, since it is smaller than the sum of its proper divisors (31613873472).

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

11162928960 is a wasteful number, since it uses less digits than its factorization.

11162928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11162928960 in words is "eleven billion, one hundred sixty-two million, nine hundred twenty-eight thousand, nine hundred sixty".