11878677216 has 480 divisors, whose sum is σ = 42152140800. Its totient is φ = 3276806400.

The previous prime is 11878677179. The next prime is 11878677227. The reversal of 11878677216 is 61277687811.

It is a super-2 number, since 2×11878677216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 27560521 + ... + 27560951.

It is an arithmetic number, because the mean of its divisors is an integer number (87816960).

Almost surely, 2^11878677216 is an apocalyptic number.

11878677216 is a gapful number since it is divisible by the number (16) 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 11878677216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

11878677216 is an abundant number, since it is smaller than the sum of its proper divisors (30273463584).

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

11878677216 is an equidigital number, since it uses as much as digits as its factorization.

11878677216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The spelling of 11878677216 in words is "eleven billion, eight hundred seventy-eight million, six hundred seventy-seven thousand, two hundred sixteen".