10309580480 has 112 divisors (see below), whose sum is σ = 24833640960. Its totient is φ = 4076448768.

The previous prime is 10309580461. The next prime is 10309580509. The reversal of 10309580480 is 8408590301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12465827 + ... + 12466653.

Almost surely, 2^10309580480 is an apocalyptic number.

10309580480 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 10309580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416820480).

10309580480 is an abundant number, since it is smaller than the sum of its proper divisors (14524060480).

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

10309580480 is a wasteful number, since it uses less digits than its factorization.

10309580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10309580480 in words is "ten billion, three hundred nine million, five hundred eighty thousand, four hundred eighty".