10873624608 has 576 divisors, whose sum is σ = 41098337280. Its totient is φ = 2641766400.

The previous prime is 10873624607. The next prime is 10873624621. The reversal of 10873624608 is 80642637801.

10873624608 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 36 + 2 + 4 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (10873624607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 55195966 + ... + 55196162.

It is an arithmetic number, because the mean of its divisors is an integer number (71351280).

Almost surely, 2^10873624608 is an apocalyptic number.

10873624608 is a gapful number since it is divisible by the number (18) 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 10873624608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549168640).

10873624608 is an abundant number, since it is smaller than the sum of its proper divisors (30224712672).

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

10873624608 is a wasteful number, since it uses less digits than its factorization.

10873624608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10873624608 in words is "ten billion, eight hundred seventy-three million, six hundred twenty-four thousand, six hundred eight".