61920169284564 has 384 divisors, whose sum is σ = 175922595878400. Its totient is φ = 18754995363840.

The previous prime is 61920169284557. The next prime is 61920169284569. The reversal of 61920169284564 is 46548296102916.

61920169284564 is a `hidden beast` number, since 6 + 1 + 9 + 2 + 0 + 1 + 69 + 2 + 8 + 4 + 564 = 666.

61920169284564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61920169284569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6357954807 + ... + 6357964545.

It is an arithmetic number, because the mean of its divisors is an integer number (458131760100).

Almost surely, 2^{61920169284564} 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 61920169284564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87961297939200).

61920169284564 is an abundant number, since it is smaller than the sum of its proper divisors (114002426593836).

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

61920169284564 is a wasteful number, since it uses less digits than its factorization.

61920169284564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 61920169284564 in words is "sixty-one trillion, nine hundred twenty billion, one hundred sixty-nine million, two hundred eighty-four thousand, five hundred sixty-four".