13039413660 has 288 divisors, whose sum is σ = 48819843072. Its totient is φ = 2743303680.

The previous prime is 13039413589. The next prime is 13039413701. The reversal of 13039413660 is 6631493031.

13039413660 is a `hidden beast` number, since 130 + 394 + 136 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7058857 + ... + 7060703.

It is an arithmetic number, because the mean of its divisors is an integer number (169513344).

Almost surely, 2^13039413660 is an apocalyptic number.

13039413660 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 13039413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409921536).

13039413660 is an abundant number, since it is smaller than the sum of its proper divisors (35780429412).

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

13039413660 is a wasteful number, since it uses less digits than its factorization.

13039413660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13039413660 in words is "thirteen billion, thirty-nine million, four hundred thirteen thousand, six hundred sixty".