55294207200 has 576 divisors, whose sum is σ = 212020804800. Its totient is φ = 13882982400.

The previous prime is 55294207183. The next prime is 55294207247. The reversal of 55294207200 is 270249255.

It is a happy number.

55294207200 is a `hidden beast` number, since 5 + 5 + 29 + 420 + 7 + 200 = 666.

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

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, 25681324 + ... + 25683476.

It is an arithmetic number, because the mean of its divisors is an integer number (368091675).

Almost surely, 2^55294207200 is an apocalyptic number.

55294207200 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 55294207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106010402400).

55294207200 is an abundant number, since it is smaller than the sum of its proper divisors (156726597600).

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

55294207200 is a wasteful number, since it uses less digits than its factorization.

55294207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55294207200 in words is "fifty-five billion, two hundred ninety-four million, two hundred seven thousand, two hundred".