11460319680 has 224 divisors, whose sum is σ = 38463321600. Its totient is φ = 2883022848.

The previous prime is 11460319679. The next prime is 11460319681. The reversal of 11460319680 is 8691306411.

It is an interprime number because it is at equal distance from previous prime (11460319679) and next prime (11460319681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11460319681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4795926 + ... + 4798314.

Almost surely, 2^11460319680 is an apocalyptic number.

11460319680 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 11460319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19231660800).

11460319680 is an abundant number, since it is smaller than the sum of its proper divisors (27003001920).

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

11460319680 is a wasteful number, since it uses less digits than its factorization.

11460319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 11460319680 in words is "eleven billion, four hundred sixty million, three hundred nineteen thousand, six hundred eighty".