10848660480 has 880 divisors, whose sum is σ = 46081670976. Its totient is φ = 2388787200.

The previous prime is 10848660479. The next prime is 10848660491. The reversal of 10848660480 is 8406684801.

10848660480 is a `hidden beast` number, since 10 + 84 + 86 + 6 + 0 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107412430 + ... + 107412530.

Almost surely, 2^10848660480 is an apocalyptic number.

10848660480 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 10848660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040835488).

10848660480 is an abundant number, since it is smaller than the sum of its proper divisors (35233010496).

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

10848660480 is a wasteful number, since it uses less digits than its factorization.

10848660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

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

The spelling of 10848660480 in words is "ten billion, eight hundred forty-eight million, six hundred sixty thousand, four hundred eighty".