55093256064 has 768 divisors, whose sum is σ = 210827635200. Its totient is φ = 13377208320.

The previous prime is 55093256047. The next prime is 55093256087. The reversal of 55093256064 is 46065239055.

55093256064 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 32 + 5 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163481304 + ... + 163481640.

It is an arithmetic number, because the mean of its divisors is an integer number (274515150).

Almost surely, 2^55093256064 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 55093256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105413817600).

55093256064 is an abundant number, since it is smaller than the sum of its proper divisors (155734379136).

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

55093256064 is a wasteful number, since it uses less digits than its factorization.

55093256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55093256064 in words is "fifty-five billion, ninety-three million, two hundred fifty-six thousand, sixty-four".