120683777760 has 864 divisors, whose sum is σ = 519973927200. Its totient is φ = 25263415296.

The previous prime is 120683777749. The next prime is 120683777833. The reversal of 120683777760 is 67777386021.

120683777760 is a `hidden beast` number, since 1 + 206 + 8 + 377 + 7 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120683777697 and 120683777706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136674279 + ... + 136675161.

It is an arithmetic number, because the mean of its divisors is an integer number (601821675).

Almost surely, 2^120683777760 is an apocalyptic number.

120683777760 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 120683777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259986963600).

120683777760 is an abundant number, since it is smaller than the sum of its proper divisors (399290149440).

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

120683777760 is a wasteful number, since it uses less digits than its factorization.

120683777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 120683777760 in words is "one hundred twenty billion, six hundred eighty-three million, seven hundred seventy-seven thousand, seven hundred sixty".