55759019085 has 384 divisors, whose sum is σ = 136791244800. Its totient is φ = 21228480000.

The previous prime is 55759019051. The next prime is 55759019089. The reversal of 55759019085 is 58091095755.

It is a happy number.

55759019085 is a `hidden beast` number, since 557 + 5 + 9 + 0 + 1 + 9 + 0 + 85 = 666.

It is not a de Polignac number, because 55759019085 - 2¹⁰ = 55759018061 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55759019089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42857935 + ... + 42859235.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^55759019085 is an apocalyptic number.

55759019085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55759019085 is an abundant number, since it is smaller than the sum of its proper divisors (81032225715).

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

55759019085 is a wasteful number, since it uses less digits than its factorization.

55759019085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2835000, while the sum is 54.

It can be divided in two parts, 557590 and 19085, that added together give a palindrome (576675).

The spelling of 55759019085 in words is "fifty-five billion, seven hundred fifty-nine million, nineteen thousand, eighty-five".