610087580160 has 320 divisors, whose sum is σ = 2056269283200. Its totient is φ = 153883901952.

The previous prime is 610087580147. The next prime is 610087580173. The reversal of 610087580160 is 61085780016.

It is an interprime number because it is at equal distance from previous prime (610087580147) and next prime (610087580173).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103454332 + ... + 103460228.

It is an arithmetic number, because the mean of its divisors is an integer number (6425841510).

Almost surely, 2^610087580160 is an apocalyptic number.

610087580160 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 610087580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028134641600).

610087580160 is an abundant number, since it is smaller than the sum of its proper divisors (1446181703040).

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

610087580160 is a wasteful number, since it uses less digits than its factorization.

610087580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 610087580160 in words is "six hundred ten billion, eighty-seven million, five hundred eighty thousand, one hundred sixty".