55735545688160 has 288 divisors, whose sum is σ = 149102677463040. Its totient is φ = 19557378699264.

The previous prime is 55735545688079. The next prime is 55735545688189. The reversal of 55735545688160 is 6188654553755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142103201 + ... + 142494879.

It is an arithmetic number, because the mean of its divisors is an integer number (517717630080).

Almost surely, 2^{55735545688160} 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 55735545688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74551338731520).

55735545688160 is an abundant number, since it is smaller than the sum of its proper divisors (93367131774880).

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

55735545688160 is a wasteful number, since it uses less digits than its factorization.

55735545688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391830 (or 391779 counting only the distinct ones).

The product of its (nonzero) digits is 604800000, while the sum is 68.

The spelling of 55735545688160 in words is "fifty-five trillion, seven hundred thirty-five billion, five hundred forty-five million, six hundred eighty-eight thousand, one hundred sixty".