11682705615024 has 160 divisors (see below), whose sum is σ = 32114095637760. Its totient is φ = 3649242240000.

The previous prime is 11682705615017. The next prime is 11682705615079. The reversal of 11682705615024 is 42051650728611.

It is a happy number.

It is a super-2 number, since 2×11682705615024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96749374 + ... + 96870050.

It is an arithmetic number, because the mean of its divisors is an integer number (200713097736).

Almost surely, 2^{11682705615024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682705615024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057047818880).

11682705615024 is an abundant number, since it is smaller than the sum of its proper divisors (20431390022736).

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

11682705615024 is a wasteful number, since it uses less digits than its factorization.

11682705615024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121859 (or 121853 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 11682705615024 in words is "eleven trillion, six hundred eighty-two billion, seven hundred five million, six hundred fifteen thousand, twenty-four".