11149572096 has 576 divisors, whose sum is σ = 38158848000. Its totient is φ = 3105423360.

The previous prime is 11149572073. The next prime is 11149572101. The reversal of 11149572096 is 69027594111.

11149572096 is a `hidden beast` number, since 1 + 1 + 1 + 495 + 72 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141133785 + ... + 141133863.

It is an arithmetic number, because the mean of its divisors is an integer number (66248000).

Almost surely, 2^11149572096 is an apocalyptic number.

11149572096 is a gapful number since it is divisible by the number (16) 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 11149572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424000).

11149572096 is an abundant number, since it is smaller than the sum of its proper divisors (27009275904).

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

11149572096 is a wasteful number, since it uses less digits than its factorization.

11149572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11149572096 in words is "eleven billion, one hundred forty-nine million, five hundred seventy-two thousand, ninety-six".