61356241820288 has 64 divisors (see below), whose sum is σ = 123166365372000. Its totient is φ = 30444597335040.

The previous prime is 61356241820257. The next prime is 61356241820303. The reversal of 61356241820288 is 88202814265316.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8522798 + ... + 13976786.

Almost surely, 2^{61356241820288} 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 61356241820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61583182686000).

61356241820288 is an abundant number, since it is smaller than the sum of its proper divisors (61810123551712).

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

61356241820288 is a wasteful number, since it uses less digits than its factorization.

61356241820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454673 (or 5454661 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 61356241820288 in words is "sixty-one trillion, three hundred fifty-six billion, two hundred forty-one million, eight hundred twenty thousand, two hundred eighty-eight".