11682358240 has 192 divisors, whose sum is σ = 33355929600. Its totient is φ = 3777048576.

The previous prime is 11682358223. The next prime is 11682358273. The reversal of 11682358240 is 4285328611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11682358193 and 11682358202.

It is a congruent number.

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, 5084772 + ... + 5087068.

It is an arithmetic number, because the mean of its divisors is an integer number (173728800).

Almost surely, 2^11682358240 is an apocalyptic number.

11682358240 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 11682358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677964800).

11682358240 is an abundant number, since it is smaller than the sum of its proper divisors (21673571360).

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

11682358240 is a wasteful number, since it uses less digits than its factorization.

11682358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 11682358240 in words is "eleven billion, six hundred eighty-two million, three hundred fifty-eight thousand, two hundred forty".