16042593004800 has 432 divisors, whose sum is σ = 53568001636800. Its totient is φ = 4227817144320.

The previous prime is 16042593004799. The next prime is 16042593004943. The reversal of 16042593004800 is 840039524061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757179807 + ... + 757200993.

Almost surely, 2^{16042593004800} is an apocalyptic number.

16042593004800 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 16042593004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784000818400).

16042593004800 is an abundant number, since it is smaller than the sum of its proper divisors (37525408632000).

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

16042593004800 is a wasteful number, since it uses less digits than its factorization.

16042593004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21678 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 16042593004800 in words is "sixteen trillion, forty-two billion, five hundred ninety-three million, four thousand, eight hundred".