11983549288032 has 1152 divisors, whose sum is σ = 42454486609920. Its totient is φ = 3276510289920.

The previous prime is 11983549288027. The next prime is 11983549288159. The reversal of 11983549288032 is 23088294538911.

11983549288032 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 3 + 549 + 2 + 8 + 80 + 3 + 2 = 666.

It is a super-3 number, since 3×11983549288032³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32127477798 + ... + 32127478170.

It is an arithmetic number, because the mean of its divisors is an integer number (36852852960).

Almost surely, 2^{11983549288032} is an apocalyptic number.

11983549288032 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 11983549288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227243304960).

11983549288032 is an abundant number, since it is smaller than the sum of its proper divisors (30470937321888).

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

11983549288032 is a wasteful number, since it uses less digits than its factorization.

11983549288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 11983549288032 in words is "eleven trillion, nine hundred eighty-three billion, five hundred forty-nine million, two hundred eighty-eight thousand, thirty-two".