11059152168960 has 2304 divisors, whose sum is σ = 50014298880000. Its totient is φ = 2300879831040.

The previous prime is 11059152168787. The next prime is 11059152169003. The reversal of 11059152168960 is 6986125195011.

It is a happy number.

11059152168960 is a `hidden beast` number, since 1 + 1 + 0 + 59 + 1 + 521 + 6 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11059152168897 and 11059152168906.

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, 7139542266 + ... + 7139543814.

It is an arithmetic number, because the mean of its divisors is an integer number (21707595000).

Almost surely, 2^{11059152168960} is an apocalyptic number.

11059152168960 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 11059152168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007149440000).

11059152168960 is an abundant number, since it is smaller than the sum of its proper divisors (38955146711040).

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

11059152168960 is a wasteful number, since it uses less digits than its factorization.

11059152168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 11059152168960 in words is "eleven trillion, fifty-nine billion, one hundred fifty-two million, one hundred sixty-eight thousand, nine hundred sixty".