120765395520 has 1008 divisors, whose sum is σ = 538972621824. Its totient is φ = 24269414400.

The previous prime is 120765395503. The next prime is 120765395521. The reversal of 120765395520 is 25593567021.

120765395520 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 65 + 39 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120765395521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75619362 + ... + 75620958.

Almost surely, 2^120765395520 is an apocalyptic number.

120765395520 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 120765395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269486310912).

120765395520 is an abundant number, since it is smaller than the sum of its proper divisors (418207226304).

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

120765395520 is a wasteful number, since it uses less digits than its factorization.

120765395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 120765395520 in words is "one hundred twenty billion, seven hundred sixty-five million, three hundred ninety-five thousand, five hundred twenty".