13071893760 has 216 divisors, whose sum is σ = 45359201160. Its totient is φ = 3475685376.

The previous prime is 13071893749. The next prime is 13071893773. The reversal of 13071893760 is 6739817031.

13071893760 is a `hidden beast` number, since 130 + 71 + 89 + 376 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3652026624 + 9419867136 = 60432^2 + 97056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4479822 + ... + 4482738.

Almost surely, 2^13071893760 is an apocalyptic number.

13071893760 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 13071893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22679600580).

13071893760 is an abundant number, since it is smaller than the sum of its proper divisors (32287307400).

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

13071893760 is a wasteful number, since it uses less digits than its factorization.

13071893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13071893760 in words is "thirteen billion, seventy-one million, eight hundred ninety-three thousand, seven hundred sixty".