61160078872256 has 504 divisors, whose sum is σ = 162309956608800. Its totient is φ = 22709650489344.

The previous prime is 61160078872223. The next prime is 61160078872259. The reversal of 61160078872256 is 65227887006116.

It is a junction number, because it is equal to n+sod(n) for n = 61160078872195 and 61160078872204.

It is not an unprimeable number, because it can be changed into a prime (61160078872259) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3360619445 + ... + 3360637643.

It is an arithmetic number, because the mean of its divisors is an integer number (322043564700).

Almost surely, 2^{61160078872256} 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 61160078872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81154978304400).

61160078872256 is an abundant number, since it is smaller than the sum of its proper divisors (101149877736544).

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

61160078872256 is a wasteful number, since it uses less digits than its factorization.

61160078872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 61160078872256 in words is "sixty-one trillion, one hundred sixty billion, seventy-eight million, eight hundred seventy-two thousand, two hundred fifty-six".