11549961072 has 420 divisors, whose sum is σ = 38315167464. Its totient is φ = 3350833920.

The previous prime is 11549961043. The next prime is 11549961079. The reversal of 11549961072 is 27016994511.

11549961072 is a `hidden beast` number, since 1 + 1 + 549 + 96 + 10 + 7 + 2 = 666.

11549961072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11549961079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 54739047 + ... + 54739257.

Almost surely, 2^11549961072 is an apocalyptic number.

11549961072 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 11549961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157583732).

11549961072 is an abundant number, since it is smaller than the sum of its proper divisors (26765206392).

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

11549961072 is a wasteful number, since it uses less digits than its factorization.

11549961072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 248 counting only the distinct ones).

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

The spelling of 11549961072 in words is "eleven billion, five hundred forty-nine million, nine hundred sixty-one thousand, seventy-two".