11121485760 has 896 divisors, whose sum is σ = 49801881600. Its totient is φ = 2269347840.

The previous prime is 11121485759. The next prime is 11121485797. The reversal of 11121485760 is 6758412111.

11121485760 is a `hidden beast` number, since 1 + 112 + 1 + 485 + 7 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 48565326 + ... + 48565554.

Almost surely, 2^11121485760 is an apocalyptic number.

11121485760 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 11121485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24900940800).

11121485760 is an abundant number, since it is smaller than the sum of its proper divisors (38680395840).

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

11121485760 is a wasteful number, since it uses less digits than its factorization.

11121485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 11121485760 its reverse (6758412111), we get a palindrome (17879897871).

The spelling of 11121485760 in words is "eleven billion, one hundred twenty-one million, four hundred eighty-five thousand, seven hundred sixty".