11509912028160 has 3696 divisors, whose sum is σ = 53476961481216. Its totient is φ = 2353719803904.

The previous prime is 11509912028143. The next prime is 11509912028171. The reversal of 11509912028160 is 6182021990511.

11509912028160 is a `hidden beast` number, since 1 + 1 + 509 + 9 + 1 + 2 + 0 + 2 + 81 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 111746718669 + ... + 111746718771.

Almost surely, 2^{11509912028160} is an apocalyptic number.

11509912028160 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 11509912028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26738480740608).

11509912028160 is an abundant number, since it is smaller than the sum of its proper divisors (41967049453056).

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

11509912028160 is a wasteful number, since it uses less digits than its factorization.

11509912028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 11509912028160 in words is "eleven trillion, five hundred nine billion, nine hundred twelve million, twenty-eight thousand, one hundred sixty".