580161254400 has 2376 divisors, whose sum is σ = 2685875905440. Its totient is φ = 118536929280.

The previous prime is 580161254389. The next prime is 580161254401. The reversal of 580161254400 is 4452161085.

It is a happy number.

580161254400 is a `hidden beast` number, since 5 + 80 + 16 + 125 + 440 + 0 = 666.

It is a super-2 number, since 2×580161254400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580161254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8659123167 + ... + 8659123233.

Almost surely, 2^580161254400 is an apocalyptic number.

580161254400 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 580161254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342937952720).

580161254400 is an abundant number, since it is smaller than the sum of its proper divisors (2105714651040).

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

580161254400 is a wasteful number, since it uses less digits than its factorization.

580161254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 580161254400 in words is "five hundred eighty billion, one hundred sixty-one million, two hundred fifty-four thousand, four hundred".