16685060264400 has 1920 divisors, whose sum is σ = 66118768128000. Its totient is φ = 3546700185600.

The previous prime is 16685060264399. The next prime is 16685060264447. The reversal of 16685060264400 is 446206058661.

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 16685060264400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47808195426 + ... + 47808195774.

It is an arithmetic number, because the mean of its divisors is an integer number (34436858400).

Almost surely, 2^{16685060264400} is an apocalyptic number.

16685060264400 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 16685060264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33059384064000).

16685060264400 is an abundant number, since it is smaller than the sum of its proper divisors (49433707863600).

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

16685060264400 is a wasteful number, since it uses less digits than its factorization.

16685060264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 16685060264400 in words is "sixteen trillion, six hundred eighty-five billion, sixty million, two hundred sixty-four thousand, four hundred".