55982784000 has 640 divisors, whose sum is σ = 218775997440. Its totient is φ = 12521472000.

The previous prime is 55982783993. The next prime is 55982784019. The reversal of 55982784000 is 48728955.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27454981 + ... + 27457019.

It is an arithmetic number, because the mean of its divisors is an integer number (341837496).

Almost surely, 2^55982784000 is an apocalyptic number.

55982784000 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 55982784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109387998720).

55982784000 is an abundant number, since it is smaller than the sum of its proper divisors (162793213440).

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

55982784000 is a wasteful number, since it uses less digits than its factorization.

55982784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 55982784000 in words is "fifty-five billion, nine hundred eighty-two million, seven hundred eighty-four thousand".