55631391984000 has 768 divisors, whose sum is σ = 228794187548160. Its totient is φ = 12689736192000.

The previous prime is 55631391983969. The next prime is 55631391984023. The reversal of 55631391984000 is 48919313655.

55631391984000 is a `hidden beast` number, since 5 + 5 + 63 + 1 + 3 + 91 + 98 + 400 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 494871799 + ... + 494984201.

It is an arithmetic number, because the mean of its divisors is an integer number (297909098370).

Almost surely, 2^{55631391984000} is an apocalyptic number.

55631391984000 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 55631391984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397093774080).

55631391984000 is an abundant number, since it is smaller than the sum of its proper divisors (173162795564160).

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

55631391984000 is a wasteful number, since it uses less digits than its factorization.

55631391984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112936 (or 112911 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 55631391984000 in words is "fifty-five trillion, six hundred thirty-one billion, three hundred ninety-one million, nine hundred eighty-four thousand".