5870386180800 has 336 divisors, whose sum is σ = 21404956245120. Its totient is φ = 1565054161920.

The previous prime is 5870386180787. The next prime is 5870386180817. The reversal of 5870386180800 is 80816830785.

It is a happy number.

5870386180800 is a `hidden beast` number, since 5 + 8 + 7 + 0 + 386 + 180 + 80 + 0 = 666.

It is a super-2 number, since 2×5870386180800² (a number of 26 digits) contains 22 as substring.

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, 206784207 + ... + 206812593.

It is an arithmetic number, because the mean of its divisors is an integer number (63705226920).

Almost surely, 2^{5870386180800} is an apocalyptic number.

5870386180800 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 5870386180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702478122560).

5870386180800 is an abundant number, since it is smaller than the sum of its proper divisors (15534570064320).

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

5870386180800 is a wasteful number, since it uses less digits than its factorization.

5870386180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33205 (or 33184 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 5870386180800 in words is "five trillion, eight hundred seventy billion, three hundred eighty-six million, one hundred eighty thousand, eight hundred".