10830225888 has 72 divisors (see below), whose sum is σ = 30845590776. Its totient is φ = 3604550400.

The previous prime is 10830225871. The next prime is 10830225919. The reversal of 10830225888 is 88852203801.

10830225888 is a `hidden beast` number, since 10 + 8 + 30 + 22 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 161923 + ... + 218813.

It is an arithmetic number, because the mean of its divisors is an integer number (428410983).

Almost surely, 2^10830225888 is an apocalyptic number.

10830225888 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 10830225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422795388).

10830225888 is an abundant number, since it is smaller than the sum of its proper divisors (20015364888).

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

10830225888 is a wasteful number, since it uses less digits than its factorization.

10830225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57568 (or 57557 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10830225888 in words is "ten billion, eight hundred thirty million, two hundred twenty-five thousand, eight hundred eighty-eight".