61855933955816 has 256 divisors, whose sum is σ = 155961837158400. Its totient is φ = 22211553024000.

The previous prime is 61855933955801. The next prime is 61855933955839.

61855933955816 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×61855933955816³ (a number of 42 digits) contains 333 as substring.

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, 23984463215 + ... + 23984465793.

It is an arithmetic number, because the mean of its divisors is an integer number (609225926400).

Almost surely, 2^{61855933955816} 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 61855933955816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77980918579200).

61855933955816 is an abundant number, since it is smaller than the sum of its proper divisors (94105903202584).

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

61855933955816 is a wasteful number, since it uses less digits than its factorization.

61855933955816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6076 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 74.

The spelling of 61855933955816 in words is "sixty-one trillion, eight hundred fifty-five billion, nine hundred thirty-three million, nine hundred fifty-five thousand, eight hundred sixteen".