11531969280 has 216 divisors, whose sum is σ = 42969156048. Its totient is φ = 2838601728.

The previous prime is 11531969153. The next prime is 11531969299. The reversal of 11531969280 is 8296913511.

11531969280 is a `hidden beast` number, since 1 + 1 + 531 + 96 + 9 + 28 + 0 = 666.

11531969280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 111259 + ... + 188261.

It is an arithmetic number, because the mean of its divisors is an integer number (198931278).

Almost surely, 2^11531969280 is an apocalyptic number.

11531969280 is a gapful number since it is divisible by the number (10) 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 11531969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484578024).

11531969280 is an abundant number, since it is smaller than the sum of its proper divisors (31437186768).

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

11531969280 is a wasteful number, since it uses less digits than its factorization.

11531969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77043 (or 77026 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11531969280 in words is "eleven billion, five hundred thirty-one million, nine hundred sixty-nine thousand, two hundred eighty".