120170478753 has 24 divisors (see below), whose sum is σ = 187177634280. Its totient is φ = 73853832960.

The previous prime is 120170478739. The next prime is 120170478773. The reversal of 120170478753 is 357874071021.

120170478753 is a `hidden beast` number, since 1 + 2 + 0 + 170 + 478 + 7 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2262714624 + 117907764129 = 47568^2 + 343377^2 .

It is not a de Polignac number, because 120170478753 - 2⁶ = 120170478689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120170478699 and 120170478708.

It is not an unprimeable number, because it can be changed into a prime (120170478773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585798 + ... + 763871.

It is an arithmetic number, because the mean of its divisors is an integer number (7799068095).

Almost surely, 2^120170478753 is an apocalyptic number.

120170478753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120170478753 is a deficient number, since it is larger than the sum of its proper divisors (67007155527).

120170478753 is a wasteful number, since it uses less digits than its factorization.

120170478753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350449 (or 1350446 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 120170478753 in words is "one hundred twenty billion, one hundred seventy million, four hundred seventy-eight thousand, seven hundred fifty-three".