11835100216992 has 192 divisors, whose sum is σ = 33990993550080. Its totient is φ = 3583628697600.

The previous prime is 11835100216937. The next prime is 11835100216993. The reversal of 11835100216992 is 29961200153811.

11835100216992 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 (48).

It is not an unprimeable number, because it can be changed into a prime (11835100216993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47813484 + ... + 48060372.

It is an arithmetic number, because the mean of its divisors is an integer number (177036424740).

Almost surely, 2^{11835100216992} is an apocalyptic number.

11835100216992 is a gapful number since it is divisible by the number (12) 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 11835100216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995496775040).

11835100216992 is an abundant number, since it is smaller than the sum of its proper divisors (22155893333088).

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

11835100216992 is a wasteful number, since it uses less digits than its factorization.

11835100216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247527 (or 247519 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 11835100216992 in words is "eleven trillion, eight hundred thirty-five billion, one hundred million, two hundred sixteen thousand, nine hundred ninety-two".