13867698960000 has 1920 divisors, whose sum is σ = 53781256488960. Its totient is φ = 3553320960000.

The previous prime is 13867698959987. The next prime is 13867698960083. The reversal of 13867698960000 is 6989676831.

13867698960000 is a `hidden beast` number, since 13 + 8 + 6 + 7 + 6 + 9 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 13867698960000.

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 239 ways as a sum of consecutive naturals, for example, 101224079932 + ... + 101224080068.

It is an arithmetic number, because the mean of its divisors is an integer number (28011071088).

Almost surely, 2^{13867698960000} is an apocalyptic number.

13867698960000 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 13867698960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26890628244480).

13867698960000 is an abundant number, since it is smaller than the sum of its proper divisors (39913557528960).

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

13867698960000 is an equidigital number, since it uses as much as digits as its factorization.

13867698960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 13867698960000 in words is "thirteen trillion, eight hundred sixty-seven billion, six hundred ninety-eight million, nine hundred sixty thousand".