16583505800400 has 1440 divisors, whose sum is σ = 78590764512000. Its totient is φ = 3131360870400.

The previous prime is 16583505800317. The next prime is 16583505800419. The reversal of 16583505800400 is 400850538561.

16583505800400 is a `hidden beast` number, since 1 + 65 + 8 + 3 + 5 + 0 + 580 + 0 + 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 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 287 ways as a sum of consecutive naturals, for example, 136598926 + ... + 136720274.

It is an arithmetic number, because the mean of its divisors is an integer number (54576919800).

Almost surely, 2^{16583505800400} is an apocalyptic number.

16583505800400 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 16583505800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39295382256000).

16583505800400 is an abundant number, since it is smaller than the sum of its proper divisors (62007258711600).

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

16583505800400 is a wasteful number, since it uses less digits than its factorization.

16583505800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121437 (or 121423 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 16583505800400 in words is "sixteen trillion, five hundred eighty-three billion, five hundred five million, eight hundred thousand, four hundred".