10348059904 has 432 divisors, whose sum is σ = 28185615360. Its totient is φ = 3746856960.

The previous prime is 10348059871. The next prime is 10348059907. The reversal of 10348059904 is 40995084301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348059907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116270292 + ... + 116270380.

It is an arithmetic number, because the mean of its divisors is an integer number (65244480).

Almost surely, 2^10348059904 is an apocalyptic number.

10348059904 is a gapful number since it is divisible by the number (14) 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 10348059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092807680).

10348059904 is an abundant number, since it is smaller than the sum of its proper divisors (17837555456).

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

10348059904 is a wasteful number, since it uses less digits than its factorization.

10348059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10348059904 in words is "ten billion, three hundred forty-eight million, fifty-nine thousand, nine hundred four".