11879084160 has 640 divisors, whose sum is σ = 45533093760. Its totient is φ = 2956124160.

The previous prime is 11879084149. The next prime is 11879084177. The reversal of 11879084160 is 6148097811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11879084160² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289733740 + ... + 289733780.

It is an arithmetic number, because the mean of its divisors is an integer number (71145459).

Almost surely, 2^11879084160 is an apocalyptic number.

11879084160 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 11879084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766546880).

11879084160 is an abundant number, since it is smaller than the sum of its proper divisors (33654009600).

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

11879084160 is an frugal number, since it uses more digits than its factorization.

11879084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11879084160 in words is "eleven billion, eight hundred seventy-nine million, eighty-four thousand, one hundred sixty".