61717049856000 has 3744 divisors, whose sum is σ = 288201837950208. Its totient is φ = 12342067200000.

The previous prime is 61717049855999. The next prime is 61717049856001. The reversal of 61717049856000 is 65894071716.

61717049856000 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 70 + 4 + 9 + 8 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61717049855999) and next prime (61717049856001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61717049856001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340978175910 + ... + 340978176090.

It is an arithmetic number, because the mean of its divisors is an integer number (76976986632).

Almost surely, 2^{61717049856000} is an apocalyptic number.

61717049856000 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 61717049856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144100918975104).

61717049856000 is an abundant number, since it is smaller than the sum of its proper divisors (226484788094208).

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

61717049856000 is a wasteful number, since it uses less digits than its factorization.

61717049856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 61717049856000 in words is "sixty-one trillion, seven hundred seventeen billion, forty-nine million, eight hundred fifty-six thousand".