11741653728 has 240 divisors, whose sum is σ = 39664969344. Its totient is φ = 3337770240.

The previous prime is 11741653723. The next prime is 11741653739. The reversal of 11741653728 is 82735614711.

11741653728 is a `hidden beast` number, since 11 + 74 + 16 + 537 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741653723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3826851 + ... + 3829917.

Almost surely, 2^11741653728 is an apocalyptic number.

11741653728 is a gapful number since it is divisible by the number (18) 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 11741653728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832484672).

11741653728 is an abundant number, since it is smaller than the sum of its proper divisors (27923315616).

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

11741653728 is a wasteful number, since it uses less digits than its factorization.

11741653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3290 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11741653728 in words is "eleven billion, seven hundred forty-one million, six hundred fifty-three thousand, seven hundred twenty-eight".