11728711840 has 48 divisors (see below), whose sum is σ = 27809219592. Its totient is φ = 4674530304.

The previous prime is 11728711727. The next prime is 11728711843. The reversal of 11728711840 is 4811782711.

It can be written as a sum of positive squares in 4 ways, for example, as 10766967696 + 961744144 = 103764^2 + 31012^2 .

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 = 11728711793 and 11728711802.

It is not an unprimeable number, because it can be changed into a prime (11728711843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87999 + ... + 176638.

Almost surely, 2^11728711840 is an apocalyptic number.

11728711840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11728711840 is an abundant number, since it is smaller than the sum of its proper divisors (16080507752).

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

11728711840 is a wasteful number, since it uses less digits than its factorization.

11728711840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264929 (or 264921 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 40.

It can be divided in two parts, 1172871 and 1840, that added together give a palindrome (1174711).

The spelling of 11728711840 in words is "eleven billion, seven hundred twenty-eight million, seven hundred eleven thousand, eight hundred forty".