11049512975568 has 360 divisors, whose sum is σ = 33117637280000. Its totient is φ = 3438311804928.

The previous prime is 11049512975531. The next prime is 11049512975587. The reversal of 11049512975568 is 86557921594011.

It is a happy number.

11049512975568 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 51 + 29 + 7 + 556 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2890270905 + ... + 2890274727.

Almost surely, 2^{11049512975568} is an apocalyptic number.

11049512975568 is a gapful number since it is divisible by the number (18) 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 11049512975568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558818640000).

11049512975568 is an abundant number, since it is smaller than the sum of its proper divisors (22068124304432).

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

11049512975568 is a wasteful number, since it uses less digits than its factorization.

11049512975568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 11049512975568 in words is "eleven trillion, forty-nine billion, five hundred twelve million, nine hundred seventy-five thousand, five hundred sixty-eight".