10808028241920 has 2688 divisors, whose sum is σ = 50195708559360. Its totient is φ = 2086844497920.

The previous prime is 10808028241909. The next prime is 10808028241931. The reversal of 10808028241920 is 2914282080801.

10808028241920 is a `hidden beast` number, since 1 + 0 + 80 + 80 + 2 + 82 + 419 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10808028241909) and next prime (10808028241931).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19758735087 + ... + 19758735633.

It is an arithmetic number, because the mean of its divisors is an integer number (18673998720).

Almost surely, 2^{10808028241920} is an apocalyptic number.

10808028241920 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 10808028241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25097854279680).

10808028241920 is an abundant number, since it is smaller than the sum of its proper divisors (39387680317440).

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

10808028241920 is a wasteful number, since it uses less digits than its factorization.

10808028241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10808028241920 in words is "ten trillion, eight hundred eight billion, twenty-eight million, two hundred forty-one thousand, nine hundred twenty".