55435816800 has 2160 divisors, whose sum is σ = 271551994560. Its totient is φ = 10868981760.

The previous prime is 55435816757. The next prime is 55435816819. The reversal of 55435816800 is 861853455.

55435816800 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 581 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 359 ways as a sum of consecutive naturals, for example, 701719161 + ... + 701719239.

It is an arithmetic number, because the mean of its divisors is an integer number (125718516).

Almost surely, 2^55435816800 is an apocalyptic number.

55435816800 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 55435816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135775997280).

55435816800 is an abundant number, since it is smaller than the sum of its proper divisors (216116177760).

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

55435816800 is a wasteful number, since it uses less digits than its factorization.

55435816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55435816800 in words is "fifty-five billion, four hundred thirty-five million, eight hundred sixteen thousand, eight hundred".