61365520355328 has 936 divisors, whose sum is σ = 214548695162880. Its totient is φ = 16831872368640.

The previous prime is 61365520355309. The next prime is 61365520355333. The reversal of 61365520355328 is 82355302556316.

61365520355328 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 55 + 20 + 35 + 532 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7111540518 + ... + 7111549146.

Almost surely, 2^{61365520355328} 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 61365520355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107274347581440).

61365520355328 is an abundant number, since it is smaller than the sum of its proper divisors (153183174807552).

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

61365520355328 is a wasteful number, since it uses less digits than its factorization.

61365520355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 61365520355328 in words is "sixty-one trillion, three hundred sixty-five billion, five hundred twenty million, three hundred fifty-five thousand, three hundred twenty-eight".