11727282840 has 256 divisors, whose sum is σ = 43385932800. Its totient is φ = 2469464064.

The previous prime is 11727282821. The next prime is 11727282899. The reversal of 11727282840 is 4828272711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11727282792 and 11727282801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9314131 + ... + 9315389.

It is an arithmetic number, because the mean of its divisors is an integer number (169476300).

Almost surely, 2^11727282840 is an apocalyptic number.

11727282840 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 11727282840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692966400).

11727282840 is an abundant number, since it is smaller than the sum of its proper divisors (31658649960).

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

11727282840 is a wasteful number, since it uses less digits than its factorization.

11727282840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 11727282840 in words is "eleven billion, seven hundred twenty-seven million, two hundred eighty-two thousand, eight hundred forty".