610105060080 has 240 divisors, whose sum is σ = 2211746921280. Its totient is φ = 150254641152.

The previous prime is 610105060073. The next prime is 610105060093. The reversal of 610105060080 is 80060501016.

610105060080 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 0 + 50 + 600 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154969 + ... + 1115448.

It is an arithmetic number, because the mean of its divisors is an integer number (9215612172).

Almost surely, 2^610105060080 is an apocalyptic number.

610105060080 is a gapful number since it is divisible by the number (60) 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 610105060080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105873460640).

610105060080 is an abundant number, since it is smaller than the sum of its proper divisors (1601641861200).

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

610105060080 is a wasteful number, since it uses less digits than its factorization.

610105060080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270488 (or 1270479 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 610105060080 its reverse (80060501016), we get a palindrome (690165561096).

The spelling of 610105060080 in words is "six hundred ten billion, one hundred five million, sixty thousand, eighty".