11879632005120 has 480 divisors, whose sum is σ = 46451253008160. Its totient is φ = 2879908577280.

The previous prime is 11879632005113. The next prime is 11879632005127. The reversal of 11879632005120 is 2150023697811.

11879632005120 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 9 + 632 + 0 + 0 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11879632005113) and next prime (11879632005127).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11879632005120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11879632005127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8472819 + ... + 9774861.

It is an arithmetic number, because the mean of its divisors is an integer number (96773443767).

Almost surely, 2^{11879632005120} is an apocalyptic number.

11879632005120 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 11879632005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225626504080).

11879632005120 is an abundant number, since it is smaller than the sum of its proper divisors (34571621003040).

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

11879632005120 is a wasteful number, since it uses less digits than its factorization.

11879632005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302093 (or 1302064 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11879632005120 in words is "eleven trillion, eight hundred seventy-nine billion, six hundred thirty-two million, five thousand, one hundred twenty".