13407058560 has 384 divisors, whose sum is σ = 51326922240. Its totient is φ = 2964971520.

The previous prime is 13407058519. The next prime is 13407058627. The reversal of 13407058560 is 6585070431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914182 + ... + 2918778.

It is an arithmetic number, because the mean of its divisors is an integer number (133663860).

Almost surely, 2^13407058560 is an apocalyptic number.

13407058560 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 13407058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25663461120).

13407058560 is an abundant number, since it is smaller than the sum of its proper divisors (37919863680).

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

13407058560 is a wasteful number, since it uses less digits than its factorization.

13407058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 13407058560 in words is "thirteen billion, four hundred seven million, fifty-eight thousand, five hundred sixty".