13869268560000 has 1920 divisors, whose sum is σ = 60883690982400. Its totient is φ = 2961100800000.

The previous prime is 13869268559989. The next prime is 13869268560047. The reversal of 13869268560000 is 6586296831.

It is a happy number.

13869268560000 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 9 + 26 + 8 + 5 + 600 + 0 + 0 = 666.

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

It is a super-2 number, since 2×13869268560000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4530958470 + ... + 4530961530.

It is an arithmetic number, because the mean of its divisors is an integer number (31710255720).

Almost surely, 2^{13869268560000} is an apocalyptic number.

13869268560000 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 13869268560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30441845491200).

13869268560000 is an abundant number, since it is smaller than the sum of its proper divisors (47014422422400).

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

13869268560000 is a wasteful number, since it uses less digits than its factorization.

13869268560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13869268560000 in words is "thirteen trillion, eight hundred sixty-nine billion, two hundred sixty-eight million, five hundred sixty thousand".