5742446250000 has 320 divisors, whose sum is σ = 19044898119936. Its totient is φ = 1489896000000.

The previous prime is 5742446249989. The next prime is 5742446250091. The reversal of 5742446250000 is 526442475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138729307 + ... + 138770693.

Almost surely, 2^{5742446250000} is an apocalyptic number.

5742446250000 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 5742446250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522449059968).

5742446250000 is an abundant number, since it is smaller than the sum of its proper divisors (13302451869936).

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

5742446250000 is an frugal number, since it uses more digits than its factorization.

5742446250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41470 (or 41434 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 5742446250000 in words is "five trillion, seven hundred forty-two billion, four hundred forty-six million, two hundred fifty thousand".