13715577120 has 384 divisors, whose sum is σ = 54240399360. Its totient is φ = 2840555520.

The previous prime is 13715577119. The next prime is 13715577121. The reversal of 13715577120 is 2177551731.

It is an interprime number because it is at equal distance from previous prime (13715577119) and next prime (13715577121).

It is not an unprimeable number, because it can be changed into a prime (13715577121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463650 + ... + 1472990.

It is an arithmetic number, because the mean of its divisors is an integer number (141251040).

Almost surely, 2^13715577120 is an apocalyptic number.

13715577120 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 13715577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27120199680).

13715577120 is an abundant number, since it is smaller than the sum of its proper divisors (40524822240).

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

13715577120 is a wasteful number, since it uses less digits than its factorization.

13715577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 39.

The spelling of 13715577120 in words is "thirteen billion, seven hundred fifteen million, five hundred seventy-seven thousand, one hundred twenty".