120535207752960 has 7776 divisors, whose sum is σ = 617283766794240. Its totient is φ = 21459271680000.

The previous prime is 120535207752917. The next prime is 120535207752961. The reversal of 120535207752960 is 69257702535021.

120535207752960 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 52 + 0 + 7 + 7 + 529 + 60 = 666.

120535207752960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120535207752897 and 120535207752906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120535207752961) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 798246408885 + ... + 798246409035.

Almost surely, 2^{120535207752960} is an apocalyptic number.

120535207752960 is a gapful number since it is divisible by the number (10) 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 120535207752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308641883397120).

120535207752960 is an abundant number, since it is smaller than the sum of its proper divisors (496748559041280).

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

120535207752960 is a wasteful number, since it uses less digits than its factorization.

120535207752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 120535207752960 in words is "one hundred twenty trillion, five hundred thirty-five billion, two hundred seven million, seven hundred fifty-two thousand, nine hundred sixty".