55105506001056 has 192 divisors, whose sum is σ = 170703396864000. Its totient is φ = 15231716167680.

The previous prime is 55105506001027. The next prime is 55105506001121. The reversal of 55105506001056 is 65010060550155.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65557320 + ... + 66392568.

It is an arithmetic number, because the mean of its divisors is an integer number (889080192000).

Almost surely, 2^{55105506001056} is an apocalyptic number.

55105506001056 is a gapful number since it is divisible by the number (56) 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 55105506001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85351698432000).

55105506001056 is an abundant number, since it is smaller than the sum of its proper divisors (115597890862944).

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

55105506001056 is a wasteful number, since it uses less digits than its factorization.

55105506001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838467 (or 838459 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 55105506001056 in words is "fifty-five trillion, one hundred five billion, five hundred six million, one thousand, fifty-six".