11958481296 has 120 divisors (see below), whose sum is σ = 34674265080. Its totient is φ = 3842807808.

The previous prime is 11958481273. The next prime is 11958481321. The reversal of 11958481296 is 69218485911.

It can be written as a sum of positive squares in 4 ways, for example, as 1071645696 + 10886835600 = 32736^2 + 104340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3326476 + ... + 3330068.

It is an arithmetic number, because the mean of its divisors is an integer number (288952209).

Almost surely, 2^11958481296 is an apocalyptic number.

11958481296 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 11958481296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337132540).

11958481296 is an abundant number, since it is smaller than the sum of its proper divisors (22715783784).

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

11958481296 is a wasteful number, since it uses less digits than its factorization.

11958481296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4424 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 11958481296 in words is "eleven billion, nine hundred fifty-eight million, four hundred eighty-one thousand, two hundred ninety-six".