10038610720 has 96 divisors (see below), whose sum is σ = 24074668800. Its totient is φ = 3955184640.

The previous prime is 10038610717. The next prime is 10038610759. The reversal of 10038610720 is 2701683001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277990 + ... + 3281050.

It is an arithmetic number, because the mean of its divisors is an integer number (250777800).

Almost surely, 2^10038610720 is an apocalyptic number.

10038610720 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 10038610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037334400).

10038610720 is an abundant number, since it is smaller than the sum of its proper divisors (14036058080).

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

10038610720 is a wasteful number, since it uses less digits than its factorization.

10038610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 10038610720 in words is "ten billion, thirty-eight million, six hundred ten thousand, seven hundred twenty".