55635148800 has 1224 divisors, whose sum is σ = 253543742400. Its totient is φ = 11560550400.

The previous prime is 55635148783. The next prime is 55635148819. The reversal of 55635148800 is 884153655.

55635148800 is a `hidden beast` number, since 5 + 5 + 635 + 1 + 4 + 8 + 8 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5057740795 + ... + 5057740805.

Almost surely, 2^55635148800 is an apocalyptic number.

55635148800 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 55635148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126771871200).

55635148800 is an abundant number, since it is smaller than the sum of its proper divisors (197908593600).

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

55635148800 is an equidigital number, since it uses as much as digits as its factorization.

55635148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

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

The spelling of 55635148800 in words is "fifty-five billion, six hundred thirty-five million, one hundred forty-eight thousand, eight hundred".