120893794560 has 864 divisors, whose sum is σ = 552236735232. Its totient is φ = 23640145920.

The previous prime is 120893794537. The next prime is 120893794589. The reversal of 120893794560 is 65497398021.

120893794560 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 9 + 3 + 79 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120893794497 and 120893794506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15075672 + ... + 15083688.

It is an arithmetic number, because the mean of its divisors is an integer number (639162888).

It is a 1-persistent number, because it is pandigital, but 2⋅120893794560 = 241787589120 is not.

Almost surely, 2^120893794560 is an apocalyptic number.

120893794560 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 120893794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276118367616).

120893794560 is an abundant number, since it is smaller than the sum of its proper divisors (431342940672).

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

120893794560 is a wasteful number, since it uses less digits than its factorization.

120893794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 120893794560 in words is "one hundred twenty billion, eight hundred ninety-three million, seven hundred ninety-four thousand, five hundred sixty".