16286039140800 has 2016 divisors, whose sum is σ = 67435112751552. Its totient is φ = 3406233600000.

The previous prime is 16286039140759. The next prime is 16286039140867. The reversal of 16286039140800 is 804193068261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16286039140800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23232580450 + ... + 23232581150.

It is an arithmetic number, because the mean of its divisors is an integer number (33449956722).

Almost surely, 2^{16286039140800} is an apocalyptic number.

16286039140800 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 16286039140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33717556375776).

16286039140800 is an abundant number, since it is smaller than the sum of its proper divisors (51149073610752).

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

16286039140800 is a wasteful number, since it uses less digits than its factorization.

16286039140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 16286039140800 in words is "sixteen trillion, two hundred eighty-six billion, thirty-nine million, one hundred forty thousand, eight hundred".