55561400326656 has 1280 divisors, whose sum is σ = 198804795678720. Its totient is φ = 14989161922560.

The previous prime is 55561400326631. The next prime is 55561400326667. The reversal of 55561400326656 is 65662300416555.

55561400326656 is a `hidden beast` number, since 5 + 5 + 561 + 4 + 0 + 0 + 3 + 26 + 6 + 56 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25710966216 + ... + 25710968376.

It is an arithmetic number, because the mean of its divisors is an integer number (155316246624).

Almost surely, 2^{55561400326656} is an apocalyptic number.

55561400326656 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 55561400326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99402397839360).

55561400326656 is an abundant number, since it is smaller than the sum of its proper divisors (143243395352064).

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

55561400326656 is a wasteful number, since it uses less digits than its factorization.

55561400326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 55561400326656 in words is "fifty-five trillion, five hundred sixty-one billion, four hundred million, three hundred twenty-six thousand, six hundred fifty-six".