5585785920000 has 3000 divisors, whose sum is σ = 24841098731988. Its totient is φ = 1240842240000.

The previous prime is 5585785919981. The next prime is 5585785920019. The reversal of 5585785920000 is 295875855.

It is a happy number.

5585785920000 is a `hidden beast` number, since 5 + 585 + 7 + 8 + 59 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5585785919981) and next prime (5585785920019).

It can be written as a sum of positive squares in 10 ways, for example, as 992685424896 + 4593100495104 = 996336^2 + 2143152^2 .

It is a tau number, because it is divible by the number of its divisors (3000).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 40772159932 + ... + 40772160068.

Almost surely, 2^{5585785920000} is an apocalyptic number.

5585785920000 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 5585785920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420549365994).

5585785920000 is an abundant number, since it is smaller than the sum of its proper divisors (19255312811988).

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

5585785920000 is a wasteful number, since it uses less digits than its factorization.

5585785920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 5585785920000 in words is "five trillion, five hundred eighty-five billion, seven hundred eighty-five million, nine hundred twenty thousand".