5349571584000 has 1792 divisors, whose sum is σ = 21355421368320. Its totient is φ = 1163958681600.

The previous prime is 5349571583981. The next prime is 5349571584023. The reversal of 5349571584000 is 4851759435.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×5349571584000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67716095961 + ... + 67716096039.

Almost surely, 2^{5349571584000} is an apocalyptic number.

5349571584000 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 5349571584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677710684160).

5349571584000 is an abundant number, since it is smaller than the sum of its proper divisors (16005849784320).

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

5349571584000 is an equidigital number, since it uses as much as digits as its factorization.

5349571584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 5349571584000 in words is "five trillion, three hundred forty-nine billion, five hundred seventy-one million, five hundred eighty-four thousand".