14985271217280 has 512 divisors, whose sum is σ = 61882510233600. Its totient is φ = 2995320176640.

The previous prime is 14985271217269. The next prime is 14985271217297. The reversal of 14985271217280 is 8271217258941.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 14985271217280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062645 + ... + 5576715.

It is an arithmetic number, because the mean of its divisors is an integer number (120864277800).

Almost surely, 2^{14985271217280} is an apocalyptic number.

14985271217280 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 14985271217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30941255116800).

14985271217280 is an abundant number, since it is smaller than the sum of its proper divisors (46897239016320).

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

14985271217280 is a wasteful number, since it uses less digits than its factorization.

14985271217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514132 (or 4514120 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 14985271217280 in words is "fourteen trillion, nine hundred eighty-five billion, two hundred seventy-one million, two hundred seventeen thousand, two hundred eighty".