120533305455504 has 160 divisors (see below), whose sum is σ = 357973021296000. Its totient is φ = 38784999891456.

The previous prime is 120533305455491. The next prime is 120533305455529. The reversal of 120533305455504 is 405554503335021.

120533305455504 is a `hidden beast` number, since 1 + 2 + 0 + 53 + 3 + 3 + 0 + 5 + 45 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120533305455504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65605039 + ... + 67417265.

It is an arithmetic number, because the mean of its divisors is an integer number (2237331383100).

Almost surely, 2^{120533305455504} 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 120533305455504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178986510648000).

120533305455504 is an abundant number, since it is smaller than the sum of its proper divisors (237439715840496).

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

120533305455504 is a wasteful number, since it uses less digits than its factorization.

120533305455504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817582 (or 1817570 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 120533305455504 in words is "one hundred twenty trillion, five hundred thirty-three billion, three hundred five million, four hundred fifty-five thousand, five hundred four".