11180921536512 has 1320 divisors, whose sum is σ = 41606964094976. Its totient is φ = 2925595459584.

The previous prime is 11180921536459. The next prime is 11180921536517. The reversal of 11180921536512 is 21563512908111.

11180921536512 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 0 + 92 + 15 + 36 + 512 = 666.

It is a super-2 number, since 2×11180921536512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180921536517) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 88038752193 + ... + 88038752319.

Almost surely, 2^{11180921536512} is an apocalyptic number.

11180921536512 is a gapful number since it is divisible by the number (12) 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 11180921536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803482047488).

11180921536512 is an abundant number, since it is smaller than the sum of its proper divisors (30426042558464).

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

11180921536512 is an frugal number, since it uses more digits than its factorization.

11180921536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 11180921536512 in words is "eleven trillion, one hundred eighty billion, nine hundred twenty-one million, five hundred thirty-six thousand, five hundred twelve".