10038901320 has 256 divisors, whose sum is σ = 38331648000. Its totient is φ = 2289316608.

The previous prime is 10038901307. The next prime is 10038901339. The reversal of 10038901320 is 2310983001.

10038901320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3952611 + ... + 3955149.

It is an arithmetic number, because the mean of its divisors is an integer number (149733000).

Almost surely, 2^10038901320 is an apocalyptic number.

10038901320 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 10038901320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165824000).

10038901320 is an abundant number, since it is smaller than the sum of its proper divisors (28292746680).

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

10038901320 is a wasteful number, since it uses less digits than its factorization.

10038901320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10038901320 in words is "ten billion, thirty-eight million, nine hundred one thousand, three hundred twenty".