5790201984000 has 2112 divisors, whose sum is σ = 24708632832000. Its totient is φ = 1276674048000.

The previous prime is 5790201983989. The next prime is 5790201984031. The reversal of 5790201984000 is 4891020975.

5790201984000 is a `hidden beast` number, since 57 + 9 + 0 + 2 + 0 + 198 + 400 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38860415926 + ... + 38860416074.

Almost surely, 2^{5790201984000} is an apocalyptic number.

5790201984000 is a gapful number since it is divisible by the number (50) 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 5790201984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354316416000).

5790201984000 is an abundant number, since it is smaller than the sum of its proper divisors (18918430848000).

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

5790201984000 is a wasteful number, since it uses less digits than its factorization.

5790201984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 5790201984000 in words is "five trillion, seven hundred ninety billion, two hundred one million, nine hundred eighty-four thousand".