11201598439668 has 1152 divisors, whose sum is σ = 38785961410560. Its totient is φ = 2730756188160.

The previous prime is 11201598439667. The next prime is 11201598439679. The reversal of 11201598439668 is 86693489510211.

11201598439668 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 598 + 4 + 39 + 6 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201598439663) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11057845930 + ... + 11057846942.

It is an arithmetic number, because the mean of its divisors is an integer number (33668369280).

Almost surely, 2^{11201598439668} is an apocalyptic number.

11201598439668 is a gapful number since it is divisible by the number (18) 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 11201598439668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392980705280).

11201598439668 is an abundant number, since it is smaller than the sum of its proper divisors (27584362970892).

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

11201598439668 is a wasteful number, since it uses less digits than its factorization.

11201598439668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11201598439668 in words is "eleven trillion, two hundred one billion, five hundred ninety-eight million, four hundred thirty-nine thousand, six hundred sixty-eight".