11419367680 has 216 divisors, whose sum is σ = 32163897528. Its totient is φ = 3872784384.

The previous prime is 11419367677. The next prime is 11419367699. The reversal of 11419367680 is 8676391411.

It can be written as a sum of positive squares in 4 ways, for example, as 1416167424 + 10003200256 = 37632^2 + 100016^2 .

It is a super-2 number, since 2×11419367680² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11419367680.

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 23 ways as a sum of consecutive naturals, for example, 6082902 + ... + 6084778.

It is an arithmetic number, because the mean of its divisors is an integer number (148906933).

Almost surely, 2^11419367680 is an apocalyptic number.

11419367680 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 11419367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081948764).

11419367680 is an abundant number, since it is smaller than the sum of its proper divisors (20744529848).

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

11419367680 is an equidigital number, since it uses as much as digits as its factorization.

11419367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 11419367680 in words is "eleven billion, four hundred nineteen million, three hundred sixty-seven thousand, six hundred eighty".