55765887982728 has 512 divisors, whose sum is σ = 183945815654400. Its totient is φ = 13658525337600.

The previous prime is 55765887982699. The next prime is 55765887982873. The reversal of 55765887982728 is 82728978856755.

55765887982728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10893900153 + ... + 10893905271.

It is an arithmetic number, because the mean of its divisors is an integer number (359269171200).

Almost surely, 2^{55765887982728} 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 55765887982728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91972907827200).

55765887982728 is an abundant number, since it is smaller than the sum of its proper divisors (128179927671672).

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

55765887982728 is a wasteful number, since it uses less digits than its factorization.

55765887982728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8749 counting only the distinct ones).

The product of its digits is 37933056000, while the sum is 87.

The spelling of 55765887982728 in words is "fifty-five trillion, seven hundred sixty-five billion, eight hundred eighty-seven million, nine hundred eighty-two thousand, seven hundred twenty-eight".