11680415915840 has 112 divisors (see below), whose sum is σ = 31810577772672. Its totient is φ = 4001796212736.

The previous prime is 11680415915813. The next prime is 11680415915867. The reversal of 11680415915840 is 4851951408611.

It is a happy number.

11680415915840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11680415915813) and next prime (11680415915867).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176587 + ... + 4974453.

Almost surely, 2^{11680415915840} is an apocalyptic number.

11680415915840 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 11680415915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15905288886336).

11680415915840 is an abundant number, since it is smaller than the sum of its proper divisors (20130161856832).

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

11680415915840 is a wasteful number, since it uses less digits than its factorization.

11680415915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799264 (or 3799254 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 53.

The spelling of 11680415915840 in words is "eleven trillion, six hundred eighty billion, four hundred fifteen million, nine hundred fifteen thousand, eight hundred forty".