13072711680 has 720 divisors, whose sum is σ = 55205841600. Its totient is φ = 2793406464.

The previous prime is 13072711679. The next prime is 13072711699. The reversal of 13072711680 is 8611727031.

13072711680 is a `hidden beast` number, since 1 + 307 + 271 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 87736246 + ... + 87736394.

It is an arithmetic number, because the mean of its divisors is an integer number (76674780).

Almost surely, 2^13072711680 is an apocalyptic number.

13072711680 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 13072711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602920800).

13072711680 is an abundant number, since it is smaller than the sum of its proper divisors (42133129920).

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

13072711680 is a wasteful number, since it uses less digits than its factorization.

13072711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 13072711680 in words is "thirteen billion, seventy-two million, seven hundred eleven thousand, six hundred eighty".