11909631165120 has 1344 divisors, whose sum is σ = 46668652692480. Its totient is φ = 2873316851712.

The previous prime is 11909631164971. The next prime is 11909631165139. The reversal of 11909631165120 is 2156113690911.

11909631165120 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 9 + 631 + 1 + 6 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×11909631165120² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 11140907946 + ... + 11140909014.

It is an arithmetic number, because the mean of its divisors is an integer number (34723699920).

Almost surely, 2^{11909631165120} is an apocalyptic number.

11909631165120 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 11909631165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334326346240).

11909631165120 is an abundant number, since it is smaller than the sum of its proper divisors (34759021527360).

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

11909631165120 is a wasteful number, since it uses less digits than its factorization.

11909631165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 11909631165120 in words is "eleven trillion, nine hundred nine billion, six hundred thirty-one million, one hundred sixty-five thousand, one hundred twenty".