5673581085600 has 288 divisors, whose sum is σ = 20523388919040. Its totient is φ = 1512664657920.

The previous prime is 5673581085593. The next prime is 5673581085619. The reversal of 5673581085600 is 65801853765.

5673581085600 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 581 + 0 + 8 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 127482552 + ... + 127527048.

It is an arithmetic number, because the mean of its divisors is an integer number (71261767080).

Almost surely, 2^{5673581085600} is an apocalyptic number.

5673581085600 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 5673581085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261694459520).

5673581085600 is an abundant number, since it is smaller than the sum of its proper divisors (14849807833440).

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

5673581085600 is a wasteful number, since it uses less digits than its factorization.

5673581085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50429 (or 50410 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5673581085600 in words is "five trillion, six hundred seventy-three billion, five hundred eighty-one million, eighty-five thousand, six hundred".