16825994049600 has 840 divisors, whose sum is σ = 65328619200768. Its totient is φ = 4241167257600.

The previous prime is 16825994049551. The next prime is 16825994049661. The reversal of 16825994049600 is 694049952861.

16825994049600 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 59 + 94 + 0 + 496 + 0 + 0 = 666.

It is a super-2 number, since 2×16825994049600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172708102 + ... + 172805498.

Almost surely, 2^{16825994049600} is an apocalyptic number.

16825994049600 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 16825994049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664309600384).

16825994049600 is an abundant number, since it is smaller than the sum of its proper divisors (48502625151168).

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

16825994049600 is a wasteful number, since it uses less digits than its factorization.

16825994049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97505 (or 97481 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 16825994049600 in words is "sixteen trillion, eight hundred twenty-five billion, nine hundred ninety-four million, forty-nine thousand, six hundred".