16825534034400 has 3456 divisors, whose sum is σ = 79826810757120. Its totient is φ = 3428432179200.

The previous prime is 16825534034383. The next prime is 16825534034401. The reversal of 16825534034400 is 443043552861.

16825534034400 is a `hidden beast` number, since 1 + 6 + 82 + 5 + 534 + 0 + 34 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16825534034401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34549350957 + ... + 34549351443.

It is an arithmetic number, because the mean of its divisors is an integer number (23098035520).

Almost surely, 2^{16825534034400} is an apocalyptic number.

16825534034400 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 16825534034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39913405378560).

16825534034400 is an abundant number, since it is smaller than the sum of its proper divisors (63001276722720).

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

16825534034400 is a wasteful number, since it uses less digits than its factorization.

16825534034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 16825534034400 in words is "sixteen trillion, eight hundred twenty-five billion, five hundred thirty-four million, thirty-four thousand, four hundred".