11879830560 has 384 divisors, whose sum is σ = 42899915520. Its totient is φ = 2739142656.

The previous prime is 11879830511. The next prime is 11879830597. The reversal of 11879830560 is 6503897811.

It is a super-2 number, since 2×11879830560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11499804 + ... + 11500836.

It is an arithmetic number, because the mean of its divisors is an integer number (111718530).

Almost surely, 2^11879830560 is an apocalyptic number.

11879830560 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 11879830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21449957760).

11879830560 is an abundant number, since it is smaller than the sum of its proper divisors (31020084960).

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

11879830560 is a wasteful number, since it uses less digits than its factorization.

11879830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11879830560 in words is "eleven billion, eight hundred seventy-nine million, eight hundred thirty thousand, five hundred sixty".