55256328000 has 336 divisors, whose sum is σ = 200387840016. Its totient is φ = 14531788800.

The previous prime is 55256327963. The next prime is 55256328007. The reversal of 55256328000 is 82365255.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36946990656 + 18309337344 = 192216^2 + 135312^2 .

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 (55256328007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5250744 + ... + 5261256.

It is an arithmetic number, because the mean of its divisors is an integer number (596392381).

Almost surely, 2^55256328000 is an apocalyptic number.

55256328000 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 55256328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100193920008).

55256328000 is an abundant number, since it is smaller than the sum of its proper divisors (145131512016).

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

55256328000 is a wasteful number, since it uses less digits than its factorization.

55256328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55256328000 in words is "fifty-five billion, two hundred fifty-six million, three hundred twenty-eight thousand".