13413701760 has 512 divisors, whose sum is σ = 48223641600. Its totient is φ = 3154378752.

The previous prime is 13413701759. The next prime is 13413701801. The reversal of 13413701760 is 6710731431.

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, 35022529 + ... + 35022911.

It is an arithmetic number, because the mean of its divisors is an integer number (94186800).

Almost surely, 2^13413701760 is an apocalyptic number.

13413701760 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 13413701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111820800).

13413701760 is an abundant number, since it is smaller than the sum of its proper divisors (34809939840).

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

13413701760 is a wasteful number, since it uses less digits than its factorization.

13413701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 13413701760 in words is "thirteen billion, four hundred thirteen million, seven hundred one thousand, seven hundred sixty".