61355858484480 has 576 divisors, whose sum is σ = 229476648844800. Its totient is φ = 13678230896640.

The previous prime is 61355858484457. The next prime is 61355858484491. The reversal of 61355858484480 is 8448485855316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5718687756 + ... + 5718698484.

It is an arithmetic number, because the mean of its divisors is an integer number (398396959800).

Almost surely, 2^{61355858484480} is an apocalyptic number.

61355858484480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61355858484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114738324422400).

61355858484480 is an abundant number, since it is smaller than the sum of its proper divisors (168120790360320).

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

61355858484480 is a wasteful number, since it uses less digits than its factorization.

61355858484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 589824000, while the sum is 69.

The spelling of 61355858484480 in words is "sixty-one trillion, three hundred fifty-five billion, eight hundred fifty-eight million, four hundred eighty-four thousand, four hundred eighty".