55661036466216 has 256 divisors, whose sum is σ = 150352460236800. Its totient is φ = 17119150903296.

The previous prime is 55661036466199. The next prime is 55661036466257. The reversal of 55661036466216 is 61266463016655.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1114823445 + ... + 1114873371.

It is an arithmetic number, because the mean of its divisors is an integer number (587314297800).

Almost surely, 2^{55661036466216} 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 55661036466216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75176230118400).

55661036466216 is an abundant number, since it is smaller than the sum of its proper divisors (94691423770584).

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

55661036466216 is a wasteful number, since it uses less digits than its factorization.

55661036466216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50448 (or 50444 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 55661036466216 in words is "fifty-five trillion, six hundred sixty-one billion, thirty-six million, four hundred sixty-six thousand, two hundred sixteen".