55828080000 has 1920 divisors, whose sum is σ = 268429075200. Its totient is φ = 10782720000.

The previous prime is 55828079977. The next prime is 55828080001. The reversal of 55828080000 is 8082855.

55828080000 is a `hidden beast` number, since 558 + 28 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55828080001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1053359974 + ... + 1053360026.

It is an arithmetic number, because the mean of its divisors is an integer number (139806810).

Almost surely, 2^55828080000 is an apocalyptic number.

55828080000 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 55828080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134214537600).

55828080000 is an abundant number, since it is smaller than the sum of its proper divisors (212600995200).

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

55828080000 is a wasteful number, since it uses less digits than its factorization.

55828080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 55828080000 in words is "fifty-five billion, eight hundred twenty-eight million, eighty thousand".