120567563424 has 576 divisors, whose sum is σ = 448524518400. Its totient is φ = 30836298240.

The previous prime is 120567563407. The next prime is 120567563443. The reversal of 120567563424 is 424365765021.

120567563424 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 6 + 7 + 5 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120567563424.

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, 49029907 + ... + 49032365.

It is an arithmetic number, because the mean of its divisors is an integer number (778688400).

Almost surely, 2^120567563424 is an apocalyptic number.

120567563424 is a gapful number since it is divisible by the number (14) 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 120567563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224262259200).

120567563424 is an abundant number, since it is smaller than the sum of its proper divisors (327956954976).

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

120567563424 is a wasteful number, since it uses less digits than its factorization.

120567563424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 120567563424 in words is "one hundred twenty billion, five hundred sixty-seven million, five hundred sixty-three thousand, four hundred twenty-four".