54966870259200 has 960 divisors, whose sum is σ = 205424737689600. Its totient is φ = 14391845683200.

The previous prime is 54966870259187. The next prime is 54966870259309. The reversal of 54966870259200 is 295207866945.

54966870259200 is a `hidden beast` number, since 5 + 49 + 66 + 87 + 0 + 259 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33052837569 + ... + 33052839231.

It is an arithmetic number, because the mean of its divisors is an integer number (213984101760).

Almost surely, 2^{54966870259200} is an apocalyptic number.

54966870259200 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 54966870259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712368844800).

54966870259200 is an abundant number, since it is smaller than the sum of its proper divisors (150457867430400).

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

54966870259200 is a wasteful number, since it uses less digits than its factorization.

54966870259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 54966870259200 in words is "fifty-four trillion, nine hundred sixty-six billion, eight hundred seventy million, two hundred fifty-nine thousand, two hundred".