11682060544 has 288 divisors, whose sum is σ = 31279675392. Its totient is φ = 4214784000.

The previous prime is 11682060521. The next prime is 11682060547. The reversal of 11682060544 is 44506028611.

It is not an unprimeable number, because it can be changed into a prime (11682060547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23792139 + ... + 23792629.

It is an arithmetic number, because the mean of its divisors is an integer number (108609984).

Almost surely, 2^11682060544 is an apocalyptic number.

11682060544 is a gapful number since it is divisible by the number (14) 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 11682060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639837696).

11682060544 is an abundant number, since it is smaller than the sum of its proper divisors (19597614848).

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

11682060544 is a wasteful number, since it uses less digits than its factorization.

11682060544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 11682060544 in words is "eleven billion, six hundred eighty-two million, sixty thousand, five hundred forty-four".