120795045382960 has 160 divisors (see below), whose sum is σ = 320344783621632. Its totient is φ = 41964370575360.

The previous prime is 120795045382951. The next prime is 120795045382967. The reversal of 120795045382960 is 69283540597021.

It is not an unprimeable number, because it can be changed into a prime (120795045382967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54913890 + ... + 57071230.

It is a 1-persistent number, because it is pandigital, but 2⋅120795045382960 = 241590090765920 is not.

Almost surely, 2^{120795045382960} is an apocalyptic number.

120795045382960 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 120795045382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160172391810816).

120795045382960 is an abundant number, since it is smaller than the sum of its proper divisors (199549738238672).

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

120795045382960 is a wasteful number, since it uses less digits than its factorization.

120795045382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160551 (or 2160545 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 120795045382960 in words is "one hundred twenty trillion, seven hundred ninety-five billion, forty-five million, three hundred eighty-two thousand, nine hundred sixty".