5854742596800 has 1680 divisors, whose sum is σ = 23460614496000. Its totient is φ = 1427091333120.

The previous prime is 5854742596793. The next prime is 5854742596847. The reversal of 5854742596800 is 86952474585.

5854742596800 is a `hidden beast` number, since 5 + 8 + 5 + 47 + 425 + 96 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16308475021 + ... + 16308475379.

Almost surely, 2^{5854742596800} is an apocalyptic number.

5854742596800 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 5854742596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730307248000).

5854742596800 is an abundant number, since it is smaller than the sum of its proper divisors (17605871899200).

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

5854742596800 is a wasteful number, since it uses less digits than its factorization.

5854742596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5854742596800 in words is "five trillion, eight hundred fifty-four billion, seven hundred forty-two million, five hundred ninety-six thousand, eight hundred".