55962859219200 has 864 divisors, whose sum is σ = 212059457326080. Its totient is φ = 14426372505600.

The previous prime is 55962859219121. The next prime is 55962859219229. The reversal of 55962859219200 is 291295826955.

55962859219200 is a `hidden beast` number, since 5 + 5 + 9 + 6 + 2 + 8 + 592 + 19 + 20 + 0 = 666.

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

It is a super-2 number, since 2×55962859219200² (a number of 28 digits) contains 22 as substring.

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, 5426433244 + ... + 5426443556.

It is an arithmetic number, because the mean of its divisors is an integer number (245439186720).

Almost surely, 2^{55962859219200} is an apocalyptic number.

55962859219200 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 55962859219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106029728663040).

55962859219200 is an abundant number, since it is smaller than the sum of its proper divisors (156096598106880).

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

55962859219200 is a wasteful number, since it uses less digits than its factorization.

55962859219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 55962859219200 in words is "fifty-five trillion, nine hundred sixty-two billion, eight hundred fifty-nine million, two hundred nineteen thousand, two hundred".