11504121660 has 96 divisors (see below), whose sum is σ = 35854459200. Its totient is φ = 3062292480.

The previous prime is 11504121641. The next prime is 11504121677. The reversal of 11504121660 is 6612140511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288540 + ... + 325980.

It is an arithmetic number, because the mean of its divisors is an integer number (373483950).

Almost surely, 2^11504121660 is an apocalyptic number.

11504121660 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 11504121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927229600).

11504121660 is an abundant number, since it is smaller than the sum of its proper divisors (24350337540).

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

11504121660 is a wasteful number, since it uses less digits than its factorization.

11504121660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38028 (or 38020 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11504121660 in words is "eleven billion, five hundred four million, one hundred twenty-one thousand, six hundred sixty".