55685133504 has 1344 divisors, whose sum is σ = 229882598400. Its totient is φ = 13168189440.

The previous prime is 55685133461. The next prime is 55685133527. The reversal of 55685133504 is 40533158655.

55685133504 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 5 + 133 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 55685133504.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 762810012 + ... + 762810084.

It is an arithmetic number, because the mean of its divisors is an integer number (171043600).

Almost surely, 2^55685133504 is an apocalyptic number.

55685133504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55685133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114941299200).

55685133504 is an abundant number, since it is smaller than the sum of its proper divisors (174197464896).

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

55685133504 is a wasteful number, since it uses less digits than its factorization.

55685133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 55685133504 in words is "fifty-five billion, six hundred eighty-five million, one hundred thirty-three thousand, five hundred four".