13279858872000 has 1344 divisors, whose sum is σ = 52948061337600. Its totient is φ = 2920754995200.

The previous prime is 13279858871977. The next prime is 13279858872221. The reversal of 13279858872000 is 27885897231.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×13279858872000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14971655557 + ... + 14971656443.

Almost surely, 2^{13279858872000} is an apocalyptic number.

13279858872000 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 13279858872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26474030668800).

13279858872000 is an abundant number, since it is smaller than the sum of its proper divisors (39668202465600).

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

13279858872000 is a wasteful number, since it uses less digits than its factorization.

13279858872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 13279858872000 in words is "thirteen trillion, two hundred seventy-nine billion, eight hundred fifty-eight million, eight hundred seventy-two thousand".