61017668704288 has 192 divisors, whose sum is σ = 130274086924800. Its totient is φ = 28022712238080.

The previous prime is 61017668704261. The next prime is 61017668704313. The reversal of 61017668704288 is 88240786671016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15969029418 + ... + 15969033238.

It is an arithmetic number, because the mean of its divisors is an integer number (678510869400).

Almost surely, 2^{61017668704288} is an apocalyptic number.

61017668704288 is a gapful number since it is divisible by the number (68) 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 61017668704288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65137043462400).

61017668704288 is an abundant number, since it is smaller than the sum of its proper divisors (69256418220512).

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

61017668704288 is a wasteful number, since it uses less digits than its factorization.

61017668704288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

The spelling of 61017668704288 in words is "sixty-one trillion, seventeen billion, six hundred sixty-eight million, seven hundred four thousand, two hundred eighty-eight".