55536364800 has 864 divisors, whose sum is σ = 237741728000. Its totient is φ = 12680478720.

The previous prime is 55536364783. The next prime is 55536364837. The reversal of 55536364800 is 846363555.

55536364800 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 636 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59269932 + ... + 59270868.

Almost surely, 2^55536364800 is an apocalyptic number.

55536364800 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 55536364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118870864000).

55536364800 is an abundant number, since it is smaller than the sum of its proper divisors (182205363200).

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

55536364800 is an equidigital number, since it uses as much as digits as its factorization.

55536364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55536364800 in words is "fifty-five billion, five hundred thirty-six million, three hundred sixty-four thousand, eight hundred".