11707815040 has 128 divisors (see below), whose sum is σ = 29187993600. Its totient is φ = 4485132288.

The previous prime is 11707815019. The next prime is 11707815109. The reversal of 11707815040 is 4051870711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11707814987 and 11707815005.

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, 2354637 + ... + 2359603.

It is an arithmetic number, because the mean of its divisors is an integer number (228031200).

Almost surely, 2^11707815040 is an apocalyptic number.

11707815040 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 11707815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593996800).

11707815040 is an abundant number, since it is smaller than the sum of its proper divisors (17480178560).

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

11707815040 is a wasteful number, since it uses less digits than its factorization.

11707815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 34.

The spelling of 11707815040 in words is "eleven billion, seven hundred seven million, eight hundred fifteen thousand, forty".