55317248217000 has 1536 divisors, whose sum is σ = 244204225574400. Its totient is φ = 11454379776000.

The previous prime is 55317248216981. The next prime is 55317248217017. The reversal of 55317248217000 is 71284271355.

55317248217000 is a `hidden beast` number, since 5 + 5 + 31 + 72 + 482 + 1 + 70 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4264022514 + ... + 4264035486.

It is an arithmetic number, because the mean of its divisors is an integer number (158987126025).

Almost surely, 2^{55317248217000} is an apocalyptic number.

55317248217000 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 55317248217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122102112787200).

55317248217000 is an abundant number, since it is smaller than the sum of its proper divisors (188886977357400).

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

55317248217000 is a wasteful number, since it uses less digits than its factorization.

55317248217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 55317248217000 in words is "fifty-five trillion, three hundred seventeen billion, two hundred forty-eight million, two hundred seventeen thousand".