13405464580 has 48 divisors (see below), whose sum is σ = 29817290160. Its totient is φ = 5045096448.

The previous prime is 13405464577. The next prime is 13405464607. The reversal of 13405464580 is 8546450431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1554094084 + 11851370496 = 39422^2 + 108864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624144 + ... + 1632376.

It is an arithmetic number, because the mean of its divisors is an integer number (621193545).

Almost surely, 2^13405464580 is an apocalyptic number.

13405464580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405464580 is an abundant number, since it is smaller than the sum of its proper divisors (16411825580).

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

13405464580 is a wasteful number, since it uses less digits than its factorization.

13405464580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 13405464580 in words is "thirteen billion, four hundred five million, four hundred sixty-four thousand, five hundred eighty".