10347809920 has 128 divisors (see below), whose sum is σ = 29184076800. Its totient is φ = 3433328640.

The previous prime is 10347809911. The next prime is 10347809929. The reversal of 10347809920 is 2990874301.

It is an interprime number because it is at equal distance from previous prime (10347809911) and next prime (10347809929).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10347809929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101626 + ... + 176134.

It is an arithmetic number, because the mean of its divisors is an integer number (228000600).

Almost surely, 2^10347809920 is an apocalyptic number.

10347809920 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 10347809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592038400).

10347809920 is an abundant number, since it is smaller than the sum of its proper divisors (18836266880).

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

10347809920 is an equidigital number, since it uses as much as digits as its factorization.

10347809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74566 (or 74554 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 10347809920 in words is "ten billion, three hundred forty-seven million, eight hundred nine thousand, nine hundred twenty".