120558005568 has 672 divisors, whose sum is σ = 484191332352. Its totient is φ = 27645235200.

The previous prime is 120558005543. The next prime is 120558005599. The reversal of 120558005568 is 865500855021.

120558005568 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 80 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13256703 + ... + 13265793.

It is an arithmetic number, because the mean of its divisors is an integer number (720522816).

Almost surely, 2^120558005568 is an apocalyptic number.

120558005568 is a gapful number since it is divisible by the number (18) 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 120558005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242095666176).

120558005568 is an abundant number, since it is smaller than the sum of its proper divisors (363633326784).

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

120558005568 is a wasteful number, since it uses less digits than its factorization.

120558005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 120558005568 in words is "one hundred twenty billion, five hundred fifty-eight million, five thousand, five hundred sixty-eight".