13971159692000 has 480 divisors, whose sum is σ = 40142763198720. Its totient is φ = 4778537702400.

The previous prime is 13971159691999. The next prime is 13971159692047. The reversal of 13971159692000 is 29695117931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4600314482 + ... + 4600317518.

It is an arithmetic number, because the mean of its divisors is an integer number (83630756664).

Almost surely, 2^{13971159692000} is an apocalyptic number.

13971159692000 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 13971159692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071381599360).

13971159692000 is an abundant number, since it is smaller than the sum of its proper divisors (26171603506720).

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

13971159692000 is an frugal number, since it uses more digits than its factorization.

13971159692000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 53.

The spelling of 13971159692000 in words is "thirteen trillion, nine hundred seventy-one billion, one hundred fifty-nine million, six hundred ninety-two thousand".