55683936000 has 2016 divisors, whose sum is σ = 267662094336. Its totient is φ = 11197440000.

The previous prime is 55683935977. The next prime is 55683936001. The reversal of 55683936000 is 63938655.

55683936000 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 39 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55683936001) 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 223 ways as a sum of consecutive naturals, for example, 1796255985 + ... + 1796256015.

It is an arithmetic number, because the mean of its divisors is an integer number (132768896).

Almost surely, 2^55683936000 is an apocalyptic number.

55683936000 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 55683936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133831047168).

55683936000 is an abundant number, since it is smaller than the sum of its proper divisors (211978158336).

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

55683936000 is an equidigital number, since it uses as much as digits as its factorization.

55683936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 55683936000 in words is "fifty-five billion, six hundred eighty-three million, nine hundred thirty-six thousand".