13053415680 has 288 divisors, whose sum is σ = 46903422720. Its totient is φ = 3480164352.

The previous prime is 13053415657. The next prime is 13053415691. The reversal of 13053415680 is 8651435031.

13053415680 is a `hidden beast` number, since 1 + 3 + 0 + 53 + 41 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2797029 + ... + 2801691.

Almost surely, 2^13053415680 is an apocalyptic number.

13053415680 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 13053415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451711360).

13053415680 is an abundant number, since it is smaller than the sum of its proper divisors (33850007040).

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

13053415680 is an frugal number, since it uses more digits than its factorization.

13053415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13053415680 in words is "thirteen billion, fifty-three million, four hundred fifteen thousand, six hundred eighty".