55601489180160 has 1280 divisors, whose sum is σ = 246816659865600. Its totient is φ = 11526274252800.

The previous prime is 55601489180131. The next prime is 55601489180203. The reversal of 55601489180160 is 6108198410655.

55601489180160 is a `hidden beast` number, since 5 + 5 + 601 + 4 + 8 + 9 + 18 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 55601489180097 and 55601489180106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2293873321 + ... + 2293897559.

It is an arithmetic number, because the mean of its divisors is an integer number (192825515520).

Almost surely, 2^{55601489180160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55601489180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123408329932800).

55601489180160 is an abundant number, since it is smaller than the sum of its proper divisors (191215170685440).

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

55601489180160 is a wasteful number, since it uses less digits than its factorization.

55601489180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 24698 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 55601489180160 in words is "fifty-five trillion, six hundred one billion, four hundred eighty-nine million, one hundred eighty thousand, one hundred sixty".