10388686920 has 128 divisors (see below), whose sum is σ = 32668876800. Its totient is φ = 2637828864.

The previous prime is 10388686873. The next prime is 10388686939. The reversal of 10388686920 is 2968688301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607041 + ... + 623919.

It is an arithmetic number, because the mean of its divisors is an integer number (255225600).

Almost surely, 2^10388686920 is an apocalyptic number.

10388686920 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 10388686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334438400).

10388686920 is an abundant number, since it is smaller than the sum of its proper divisors (22280189880).

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

10388686920 is a wasteful number, since it uses less digits than its factorization.

10388686920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10388686920 in words is "ten billion, three hundred eighty-eight million, six hundred eighty-six thousand, nine hundred twenty".