11162838960 has 1280 divisors, whose sum is σ = 51663360000. Its totient is φ = 2194698240.

The previous prime is 11162838919. The next prime is 11162838971. The reversal of 11162838960 is 6983826111.

11162838960 is a `hidden beast` number, since 1 + 11 + 628 + 3 + 8 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182997330 + ... + 182997390.

It is an arithmetic number, because the mean of its divisors is an integer number (40362000).

Almost surely, 2^11162838960 is an apocalyptic number.

11162838960 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 11162838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680000).

11162838960 is an abundant number, since it is smaller than the sum of its proper divisors (40500521040).

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

11162838960 is a wasteful number, since it uses less digits than its factorization.

11162838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

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

The spelling of 11162838960 in words is "eleven billion, one hundred sixty-two million, eight hundred thirty-eight thousand, nine hundred sixty".