11421888160 has 96 divisors (see below), whose sum is σ = 27892302480. Its totient is φ = 4416602112.

The previous prime is 11421888157. The next prime is 11421888169. The reversal of 11421888160 is 6188812411.

It can be written as a sum of positive squares in 8 ways, for example, as 8093521296 + 3328366864 = 89964^2 + 57692^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11421888169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923296 + ... + 935584.

Almost surely, 2^11421888160 is an apocalyptic number.

11421888160 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 11421888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946151240).

11421888160 is an abundant number, since it is smaller than the sum of its proper divisors (16470414320).

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

11421888160 is a wasteful number, since it uses less digits than its factorization.

11421888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The spelling of 11421888160 in words is "eleven billion, four hundred twenty-one million, eight hundred eighty-eight thousand, one hundred sixty".