55856225600 has 336 divisors, whose sum is σ = 160227459072. Its totient is φ = 18771056640.

The previous prime is 55856225539. The next prime is 55856225609. The reversal of 55856225600 is 652265855.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55856225609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152196617 + ... + 152196983.

Almost surely, 2^55856225600 is an apocalyptic number.

55856225600 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 55856225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80113729536).

55856225600 is an abundant number, since it is smaller than the sum of its proper divisors (104371233472).

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

55856225600 is a wasteful number, since it uses less digits than its factorization.

55856225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 44.

The spelling of 55856225600 in words is "fifty-five billion, eight hundred fifty-six million, two hundred twenty-five thousand, six hundred".