10866804480 has 1296 divisors, whose sum is σ = 48855066624. Its totient is φ = 2299207680.

The previous prime is 10866804461. The next prime is 10866804497. The reversal of 10866804480 is 8440866801.

10866804480 is a `hidden beast` number, since 10 + 86 + 6 + 80 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350542065 + ... + 350542095.

Almost surely, 2^10866804480 is an apocalyptic number.

10866804480 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 10866804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427533312).

10866804480 is an abundant number, since it is smaller than the sum of its proper divisors (37988262144).

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

10866804480 is an equidigital number, since it uses as much as digits as its factorization.

10866804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10866804480 in words is "ten billion, eight hundred sixty-six million, eight hundred four thousand, four hundred eighty".