61444007065600 has 288 divisors, whose sum is σ = 162902658718800. Its totient is φ = 22902800384000.

The previous prime is 61444007065517. The next prime is 61444007065601. The reversal of 61444007065600 is 656070044416.

61444007065600 is digitally balanced in base 6, 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 (61444007065601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87560931 + ... + 88259869.

Almost surely, 2^{61444007065600} 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 61444007065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81451329359400).

61444007065600 is an abundant number, since it is smaller than the sum of its proper divisors (101458651653200).

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

61444007065600 is a wasteful number, since it uses less digits than its factorization.

61444007065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699089 (or 699064 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 61444007065600 in words is "sixty-one trillion, four hundred forty-four billion, seven million, sixty-five thousand, six hundred".