61285184000 has 320 divisors, whose sum is σ = 162779760000. Its totient is φ = 22947840000.

The previous prime is 61285183987. The next prime is 61285184011. The reversal of 61285184000 is 48158216.

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, 122815751 + ... + 122816249.

It is an arithmetic number, because the mean of its divisors is an integer number (508686750).

Almost surely, 2^61285184000 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 61285184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880000).

61285184000 is an abundant number, since it is smaller than the sum of its proper divisors (101494576000).

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

61285184000 is a wasteful number, since it uses less digits than its factorization.

61285184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 61285184000 in words is "sixty-one billion, two hundred eighty-five million, one hundred eighty-four thousand".