11958862113600 has 672 divisors, whose sum is σ = 40792583107584. Its totient is φ = 3064017715200.

The previous prime is 11958862113593. The next prime is 11958862113619. The reversal of 11958862113600 is 631126885911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20166714904 + ... + 20166715496.

It is an arithmetic number, because the mean of its divisors is an integer number (60703248672).

Almost surely, 2^{11958862113600} is an apocalyptic number.

11958862113600 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 11958862113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396291553792).

11958862113600 is an abundant number, since it is smaller than the sum of its proper divisors (28833720993984).

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

11958862113600 is a wasteful number, since it uses less digits than its factorization.

11958862113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 11958862113600 in words is "eleven trillion, nine hundred fifty-eight billion, eight hundred sixty-two million, one hundred thirteen thousand, six hundred".