61140823584 has 96 divisors (see below), whose sum is σ = 162050595840. Its totient is φ = 20183654400.

The previous prime is 61140823553. The next prime is 61140823603. The reversal of 61140823584 is 48532804116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4191664 + ... + 4206224.

It is an arithmetic number, because the mean of its divisors is an integer number (1688027040).

Almost surely, 2^61140823584 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 61140823584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81025297920).

61140823584 is an abundant number, since it is smaller than the sum of its proper divisors (100909772256).

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

61140823584 is a wasteful number, since it uses less digits than its factorization.

61140823584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14994 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 61140823584 in words is "sixty-one billion, one hundred forty million, eight hundred twenty-three thousand, five hundred eighty-four".