11891514360960 has 1536 divisors, whose sum is σ = 47424990412800. Its totient is φ = 2723283763200.

The previous prime is 11891514360959. The next prime is 11891514360977. The reversal of 11891514360960 is 6906341519811.

11891514360960 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 1 + 514 + 3 + 60 + 9 + 60 = 666.

It is a super-2 number, since 2×11891514360960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11891514360897 and 11891514360906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9660043545 + ... + 9660044775.

It is an arithmetic number, because the mean of its divisors is an integer number (30875644800).

Almost surely, 2^{11891514360960} is an apocalyptic number.

11891514360960 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 11891514360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712495206400).

11891514360960 is an abundant number, since it is smaller than the sum of its proper divisors (35533476051840).

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

11891514360960 is a wasteful number, since it uses less digits than its factorization.

11891514360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11891514360960 in words is "eleven trillion, eight hundred ninety-one billion, five hundred fourteen million, three hundred sixty thousand, nine hundred sixty".