13876489291200 has 168 divisors, whose sum is σ = 46150099762608. Its totient is φ = 3649706680320.

The previous prime is 13876489291187. The next prime is 13876489291213. The reversal of 13876489291200 is 219298467831.

It is an interprime number because it is at equal distance from previous prime (13876489291187) and next prime (13876489291213).

It is a super-4 number, since 4×13876489291200⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19450527 + ... + 20151326.

Almost surely, 2^{13876489291200} is an apocalyptic number.

13876489291200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13876489291200 is an abundant number, since it is smaller than the sum of its proper divisors (32273610471408).

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

13876489291200 is a wasteful number, since it uses less digits than its factorization.

13876489291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39601951 (or 39601936 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 13876489291200 in words is "thirteen trillion, eight hundred seventy-six billion, four hundred eighty-nine million, two hundred ninety-one thousand, two hundred".