13951278102720 has 1344 divisors, whose sum is σ = 56300471193600. Its totient is φ = 2907313274880.

The previous prime is 13951278102703. The next prime is 13951278102721. The reversal of 13951278102720 is 2720187215931.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13951278102720.

It is not an unprimeable number, because it can be changed into a prime (13951278102721) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5347364776 + ... + 5347367384.

Almost surely, 2^{13951278102720} is an apocalyptic number.

13951278102720 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 13951278102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28150235596800).

13951278102720 is an abundant number, since it is smaller than the sum of its proper divisors (42349193090880).

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

13951278102720 is a wasteful number, since it uses less digits than its factorization.

13951278102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 13951278102720 in words is "thirteen trillion, nine hundred fifty-one billion, two hundred seventy-eight million, one hundred two thousand, seven hundred twenty".