11405816647680 has 3328 divisors, whose sum is σ = 50728108032000. Its totient is φ = 2164135034880.

The previous prime is 11405816647679. The next prime is 11405816647699. The reversal of 11405816647680 is 8674661850411.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a self number, because there is not a number n which added to its sum of digits gives 11405816647680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144377425881 + ... + 144377425959.

Almost surely, 2^{11405816647680} is an apocalyptic number.

11405816647680 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 11405816647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364054016000).

11405816647680 is an abundant number, since it is smaller than the sum of its proper divisors (39322291384320).

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

11405816647680 is a wasteful number, since it uses less digits than its factorization.

11405816647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 11405816647680 in words is "eleven trillion, four hundred five billion, eight hundred sixteen million, six hundred forty-seven thousand, six hundred eighty".