11712435840 has 512 divisors, whose sum is σ = 48707366400. Its totient is φ = 2603778048.

The previous prime is 11712435827. The next prime is 11712435857. The reversal of 11712435840 is 4853421711.

11712435840 is a `hidden beast` number, since 1 + 1 + 71 + 2 + 4 + 3 + 584 + 0 = 666.

It is a super-2 number, since 2×11712435840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11712435795 and 11712435804.

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, 4474212 + ... + 4476828.

It is an arithmetic number, because the mean of its divisors is an integer number (95131575).

Almost surely, 2^11712435840 is an apocalyptic number.

11712435840 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 11712435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353683200).

11712435840 is an abundant number, since it is smaller than the sum of its proper divisors (36994930560).

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

11712435840 is a wasteful number, since it uses less digits than its factorization.

11712435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11712435840 in words is "eleven billion, seven hundred twelve million, four hundred thirty-five thousand, eight hundred forty".