11959073280 has 1200 divisors, whose sum is σ = 54864586656. Its totient is φ = 2461777920.

The previous prime is 11959073219. The next prime is 11959073281. The reversal of 11959073280 is 8237095911.

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

It is not an unprimeable number, because it can be changed into a prime (11959073281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111766987 + ... + 111767093.

Almost surely, 2^11959073280 is an apocalyptic number.

11959073280 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 11959073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432293328).

11959073280 is an abundant number, since it is smaller than the sum of its proper divisors (42905513376).

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

11959073280 is a wasteful number, since it uses less digits than its factorization.

11959073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

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

The spelling of 11959073280 in words is "eleven billion, nine hundred fifty-nine million, seventy-three thousand, two hundred eighty".