55582946496000 has 3200 divisors, whose sum is σ = 273350129614848. Its totient is φ = 10868981760000.

The previous prime is 55582946495987. The next prime is 55582946496001. The reversal of 55582946496000 is 69464928555.

It is a happy number.

55582946496000 is a `hidden beast` number, since 5 + 5 + 5 + 82 + 9 + 464 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55582946496001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 6785851905 + ... + 6785860095.

Almost surely, 2^{55582946496000} is an apocalyptic number.

55582946496000 is a gapful number since it is divisible by the number (50) 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 55582946496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136675064807424).

55582946496000 is an abundant number, since it is smaller than the sum of its proper divisors (217767183118848).

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

55582946496000 is a wasteful number, since it uses less digits than its factorization.

55582946496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 55582946496000 in words is "fifty-five trillion, five hundred eighty-two billion, nine hundred forty-six million, four hundred ninety-six thousand".