10348013280 has 384 divisors, whose sum is σ = 37010276352. Its totient is φ = 2407680000.

The previous prime is 10348013279. The next prime is 10348013303. The reversal of 10348013280 is 8231084301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31262715 + ... + 31263045.

It is an arithmetic number, because the mean of its divisors is an integer number (96380928).

Almost surely, 2^10348013280 is an apocalyptic number.

10348013280 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 10348013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505138176).

10348013280 is an abundant number, since it is smaller than the sum of its proper divisors (26662263072).

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

10348013280 is a wasteful number, since it uses less digits than its factorization.

10348013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 10348013280 its reverse (8231084301), we get a palindrome (18579097581).

The spelling of 10348013280 in words is "ten billion, three hundred forty-eight million, thirteen thousand, two hundred eighty".