16830664250400 has 1728 divisors, whose sum is σ = 82637816841216. Its totient is φ = 3228221952000.

The previous prime is 16830664250399. The next prime is 16830664250473. The reversal of 16830664250400 is 405246603861.

16830664250400 is a `hidden beast` number, since 1 + 6 + 83 + 0 + 6 + 64 + 2 + 504 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 194551155 + ... + 194637645.

It is an arithmetic number, because the mean of its divisors is an integer number (47822810672).

Almost surely, 2^{16830664250400} is an apocalyptic number.

16830664250400 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 16830664250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41318908420608).

16830664250400 is an abundant number, since it is smaller than the sum of its proper divisors (65807152590816).

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

16830664250400 is a wasteful number, since it uses less digits than its factorization.

16830664250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86557 (or 86532 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16830664250400 in words is "sixteen trillion, eight hundred thirty billion, six hundred sixty-four million, two hundred fifty thousand, four hundred".