55284742800 has 360 divisors, whose sum is σ = 226337180160. Its totient is φ = 12228710400.

The previous prime is 55284742759. The next prime is 55284742829. The reversal of 55284742800 is 824748255.

55284742800 is a `hidden beast` number, since 5 + 528 + 4 + 7 + 42 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 745816 + ... + 816584.

Almost surely, 2^55284742800 is an apocalyptic number.

55284742800 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 55284742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113168590080).

55284742800 is an abundant number, since it is smaller than the sum of its proper divisors (171052437360).

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

55284742800 is a wasteful number, since it uses less digits than its factorization.

55284742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70831 (or 70817 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 55284742800 in words is "fifty-five billion, two hundred eighty-four million, seven hundred forty-two thousand, eight hundred".