55358214912000 has 6912 divisors, whose sum is σ = 285019120189440. Its totient is φ = 10534551552000.

The previous prime is 55358214911977. The next prime is 55358214912001. The reversal of 55358214912000 is 21941285355.

55358214912000 is a `hidden beast` number, since 5 + 5 + 3 + 582 + 1 + 49 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55358214912001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 435891455937 + ... + 435891456063.

It is an arithmetic number, because the mean of its divisors is an integer number (41235405120).

Almost surely, 2^{55358214912000} is an apocalyptic number.

55358214912000 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 55358214912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142509560094720).

55358214912000 is an abundant number, since it is smaller than the sum of its proper divisors (229660905277440).

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

55358214912000 is a wasteful number, since it uses less digits than its factorization.

55358214912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55358214912000 in words is "fifty-five trillion, three hundred fifty-eight billion, two hundred fourteen million, nine hundred twelve thousand".