13865999862960 has 960 divisors, whose sum is σ = 58571405475840. Its totient is φ = 3001842063360.

The previous prime is 13865999862947. The next prime is 13865999862973. The reversal of 13865999862960 is 6926899956831.

13865999862960 is a `hidden beast` number, since 1 + 386 + 5 + 9 + 9 + 98 + 62 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13865999862947) and next prime (13865999862973).

It is a self number, because there is not a number n which added to its sum of digits gives 13865999862960.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154163922 + ... + 154253838.

It is an arithmetic number, because the mean of its divisors is an integer number (61011880704).

Almost surely, 2^{13865999862960} is an apocalyptic number.

13865999862960 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 13865999862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285702737920).

13865999862960 is an abundant number, since it is smaller than the sum of its proper divisors (44705405612880).

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

13865999862960 is a wasteful number, since it uses less digits than its factorization.

13865999862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90031 (or 90012 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 81.

The spelling of 13865999862960 in words is "thirteen trillion, eight hundred sixty-five billion, nine hundred ninety-nine million, eight hundred sixty-two thousand, nine hundred sixty".