11998435503888 has 160 divisors (see below), whose sum is σ = 34592630929920. Its totient is φ = 3981762576000.

The previous prime is 11998435503853. The next prime is 11998435503913. The reversal of 11998435503888 is 88830553489911.

11998435503888 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 8 + 4 + 35 + 503 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254466331 + ... + 254513477.

It is an arithmetic number, because the mean of its divisors is an integer number (216203943312).

Almost surely, 2^{11998435503888} is an apocalyptic number.

11998435503888 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 11998435503888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296315464960).

11998435503888 is an abundant number, since it is smaller than the sum of its proper divisors (22594195426032).

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

11998435503888 is a wasteful number, since it uses less digits than its factorization.

11998435503888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49762 (or 49750 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 11998435503888 in words is "eleven trillion, nine hundred ninety-eight billion, four hundred thirty-five million, five hundred three thousand, eight hundred eighty-eight".