13711278672000 has 2048 divisors, whose sum is σ = 64168589721600. Its totient is φ = 2799360000000.

The previous prime is 13711278671947. The next prime is 13711278672037. The reversal of 13711278672000 is 27687211731.

13711278672000 is a `hidden beast` number, since 1 + 371 + 1 + 2 + 78 + 6 + 7 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1218666375 + ... + 1218677625.

It is an arithmetic number, because the mean of its divisors is an integer number (31332319200).

Almost surely, 2^{13711278672000} is an apocalyptic number.

13711278672000 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 13711278672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32084294860800).

13711278672000 is an abundant number, since it is smaller than the sum of its proper divisors (50457311049600).

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

13711278672000 is a wasteful number, since it uses less digits than its factorization.

13711278672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 13711278672000 in words is "thirteen trillion, seven hundred eleven billion, two hundred seventy-eight million, six hundred seventy-two thousand".