11662116440 has 64 divisors (see below), whose sum is σ = 28362821760. Its totient is φ = 4290071040.

The previous prime is 11662116407. The next prime is 11662116451. The reversal of 11662116440 is 4461126611.

It is a junction number, because it is equal to n+sod(n) for n = 11662116397 and 11662116406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99542 + ... + 182298.

It is an arithmetic number, because the mean of its divisors is an integer number (443169090).

Almost surely, 2^11662116440 is an apocalyptic number.

11662116440 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 11662116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181410880).

11662116440 is an abundant number, since it is smaller than the sum of its proper divisors (16700705320).

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

11662116440 is a wasteful number, since it uses less digits than its factorization.

11662116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83052 (or 83048 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 11662116440 in words is "eleven billion, six hundred sixty-two million, one hundred sixteen thousand, four hundred forty".