55468198656000 has 1536 divisors, whose sum is σ = 223588430956800. Its totient is φ = 13651918848000.

The previous prime is 55468198655971. The next prime is 55468198656019. The reversal of 55468198656000 is 65689186455.

It is a happy number.

55468198656000 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 8 + 19 + 8 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 7278332190 + ... + 7278339810.

Almost surely, 2^{55468198656000} is an apocalyptic number.

55468198656000 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 55468198656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111794215478400).

55468198656000 is an abundant number, since it is smaller than the sum of its proper divisors (168120232300800).

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

55468198656000 is an frugal number, since it uses more digits than its factorization.

55468198656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 55468198656000 in words is "fifty-five trillion, four hundred sixty-eight billion, one hundred ninety-eight million, six hundred fifty-six thousand".