55942336800 has 576 divisors, whose sum is σ = 235184947200. Its totient is φ = 12568089600.

The previous prime is 55942336787. The next prime is 55942336819. The reversal of 55942336800 is 863324955.

55942336800 is a `hidden beast` number, since 5 + 594 + 23 + 36 + 8 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8917665 + ... + 8923935.

It is an arithmetic number, because the mean of its divisors is an integer number (408307200).

Almost surely, 2^55942336800 is an apocalyptic number.

55942336800 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 55942336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117592473600).

55942336800 is an abundant number, since it is smaller than the sum of its proper divisors (179242610400).

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

55942336800 is a wasteful number, since it uses less digits than its factorization.

55942336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6347 counting only the distinct ones).

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

The spelling of 55942336800 in words is "fifty-five billion, nine hundred forty-two million, three hundred thirty-six thousand, eight hundred".