16865240000 has 560 divisors, whose sum is σ = 51799418880. Its totient is φ = 5322240000.

The previous prime is 16865239999. The next prime is 16865240023. The reversal of 16865240000 is 4256861.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251719967 + ... + 251720033.

Almost surely, 2^16865240000 is an apocalyptic number.

16865240000 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 16865240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899709440).

16865240000 is an abundant number, since it is smaller than the sum of its proper divisors (34934178880).

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

16865240000 is an equidigital number, since it uses as much as digits as its factorization.

16865240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 16865240000 its reverse (4256861), we get a palindrome (16869496861).

The spelling of 16865240000 in words is "sixteen billion, eight hundred sixty-five million, two hundred forty thousand".