13071658279680 has 4320 divisors, whose sum is σ = 67356574306560. Its totient is φ = 2372782325760.

The previous prime is 13071658279679. The next prime is 13071658279727. The reversal of 13071658279680 is 8697285617031.

13071658279680 is a `hidden beast` number, since 1 + 30 + 7 + 16 + 582 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13803228967 + ... + 13803229913.

It is an arithmetic number, because the mean of its divisors is an integer number (15591799608).

Almost surely, 2^{13071658279680} is an apocalyptic number.

13071658279680 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 13071658279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678287153280).

13071658279680 is an abundant number, since it is smaller than the sum of its proper divisors (54284916026880).

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

13071658279680 is a wasteful number, since it uses less digits than its factorization.

13071658279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 13071658279680 in words is "thirteen trillion, seventy-one billion, six hundred fifty-eight million, two hundred seventy-nine thousand, six hundred eighty".