55006848327600 has 960 divisors, whose sum is σ = 231590827238400. Its totient is φ = 12269776527360.

The previous prime is 55006848327551. The next prime is 55006848327631. The reversal of 55006848327600 is 672384860055.

55006848327600 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 6 + 8 + 4 + 8 + 3 + 27 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60906532 + ... + 61803068.

It is an arithmetic number, because the mean of its divisors is an integer number (241240445040).

Almost surely, 2^{55006848327600} is an apocalyptic number.

55006848327600 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 55006848327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115795413619200).

55006848327600 is an abundant number, since it is smaller than the sum of its proper divisors (176583978910800).

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

55006848327600 is a wasteful number, since it uses less digits than its factorization.

55006848327600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896619 (or 896602 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 55006848327600 in words is "fifty-five trillion, six billion, eight hundred forty-eight million, three hundred twenty-seven thousand, six hundred".