55963284300 has 864 divisors, whose sum is σ = 235349936640. Its totient is φ = 10766131200.

The previous prime is 55963284287. The next prime is 55963284331. The reversal of 55963284300 is 348236955.

55963284300 is a `hidden beast` number, since 5 + 5 + 9 + 63 + 284 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78932346 + ... + 78933054.

It is an arithmetic number, because the mean of its divisors is an integer number (272395760).

Almost surely, 2^55963284300 is an apocalyptic number.

55963284300 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 55963284300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117674968320).

55963284300 is an abundant number, since it is smaller than the sum of its proper divisors (179386652340).

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

55963284300 is a wasteful number, since it uses less digits than its factorization.

55963284300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55963284300 in words is "fifty-five billion, nine hundred sixty-three million, two hundred eighty-four thousand, three hundred".