10349755280 has 80 divisors (see below), whose sum is σ = 25185423744. Its totient is φ = 3947919360.

The previous prime is 10349755243. The next prime is 10349755289. The reversal of 10349755280 is 8255794301.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10349755289) 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, 611735 + ... + 628425.

Almost surely, 2^10349755280 is an apocalyptic number.

10349755280 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 10349755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592711872).

10349755280 is an abundant number, since it is smaller than the sum of its proper divisors (14835668464).

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

10349755280 is a wasteful number, since it uses less digits than its factorization.

10349755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17064 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 10349755280 in words is "ten billion, three hundred forty-nine million, seven hundred fifty-five thousand, two hundred eighty".