11408680960 has 96 divisors (see below), whose sum is σ = 28984835880. Its totient is φ = 4294967296.

The previous prime is 11408680949. The next prime is 11408680991. The reversal of 11408680960 is 6908680411.

It can be written as a sum of positive squares in 4 ways, for example, as 11348214784 + 60466176 = 106528^2 + 7776^2 .

It is a super-3 number, since 3×11408680960³ (a number of 31 digits) contains 333 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 11408680960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141312 + ... + 206848.

Almost surely, 2^11408680960 is an apocalyptic number.

11408680960 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 11408680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492417940).

11408680960 is an abundant number, since it is smaller than the sum of its proper divisors (17576154920).

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

11408680960 is an equidigital number, since it uses as much as digits as its factorization.

11408680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65581 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 11408680960 in words is "eleven billion, four hundred eight million, six hundred eighty thousand, nine hundred sixty".