61585797588 has 144 divisors (see below), whose sum is σ = 168966221760. Its totient is φ = 17406918144.

The previous prime is 61585797583. The next prime is 61585797601. The reversal of 61585797588 is 88579758516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61585797583) by changing a digit.

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, 25907856 + ... + 25910232.

It is an arithmetic number, because the mean of its divisors is an integer number (1173376540).

Almost surely, 2^61585797588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61585797588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84483110880).

61585797588 is an abundant number, since it is smaller than the sum of its proper divisors (107380424172).

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

61585797588 is a wasteful number, since it uses less digits than its factorization.

61585797588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2845 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 69.

The spelling of 61585797588 in words is "sixty-one billion, five hundred eighty-five million, seven hundred ninety-seven thousand, five hundred eighty-eight".