16832161382400 has 1800 divisors, whose sum is σ = 75725639880800. Its totient is φ = 3551401082880.

The previous prime is 16832161382303. The next prime is 16832161382411. The reversal of 16832161382400 is 428316123861.

16832161382400 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 2 + 1 + 613 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1294781644794 + ... + 1294781644806.

Almost surely, 2^{16832161382400} is an apocalyptic number.

16832161382400 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 16832161382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37862819940400).

16832161382400 is an abundant number, since it is smaller than the sum of its proper divisors (58893478498400).

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

16832161382400 is an frugal number, since it uses more digits than its factorization.

16832161382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16832161382400 in words is "sixteen trillion, eight hundred thirty-two billion, one hundred sixty-one million, three hundred eighty-two thousand, four hundred".