16825583427120 has 1280 divisors, whose sum is σ = 67927619020800. Its totient is φ = 3792438558720.

The previous prime is 16825583427119. The next prime is 16825583427137. The reversal of 16825583427120 is 2172438552861.

It is a happy number.

16825583427120 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 5 + 583 + 42 + 7 + 12 + 0 = 666.

16825583427120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2225308140 + ... + 2225315700.

It is an arithmetic number, because the mean of its divisors is an integer number (53068452360).

Almost surely, 2^{16825583427120} is an apocalyptic number.

16825583427120 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 16825583427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33963809510400).

16825583427120 is an abundant number, since it is smaller than the sum of its proper divisors (51102035593680).

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

16825583427120 is a wasteful number, since it uses less digits than its factorization.

16825583427120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 16825583427120 in words is "sixteen trillion, eight hundred twenty-five billion, five hundred eighty-three million, four hundred twenty-seven thousand, one hundred twenty".