11858329600000 has 864 divisors, whose sum is σ = 34060026081312. Its totient is φ = 4089446400000.

The previous prime is 11858329599971. The next prime is 11858329600027. The reversal of 11858329600000 is 692385811.

It is a self number, because there is not a number n which added to its sum of digits gives 11858329600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90521599935 + ... + 90521600065.

It is an arithmetic number, because the mean of its divisors is an integer number (39421326483).

Almost surely, 2^{11858329600000} is an apocalyptic number.

11858329600000 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 11858329600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030013040656).

11858329600000 is an abundant number, since it is smaller than the sum of its proper divisors (22201696481312).

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

11858329600000 is an frugal number, since it uses more digits than its factorization.

11858329600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 11858329600000 in words is "eleven trillion, eight hundred fifty-eight billion, three hundred twenty-nine million, six hundred thousand".