11081154970512 has 1440 divisors, whose sum is σ = 38844158386176. Its totient is φ = 3026332108800.

The previous prime is 11081154970471. The next prime is 11081154970547. The reversal of 11081154970512 is 21507945118011.

11081154970512 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 11 + 54 + 9 + 70 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35403050868 + ... + 35403051180.

Almost surely, 2^{11081154970512} is an apocalyptic number.

11081154970512 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 11081154970512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422079193088).

11081154970512 is an abundant number, since it is smaller than the sum of its proper divisors (27763003415664).

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

11081154970512 is a wasteful number, since it uses less digits than its factorization.

11081154970512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 11081154970512 in words is "eleven trillion, eighty-one billion, one hundred fifty-four million, nine hundred seventy thousand, five hundred twelve".