120479256576 has 416 divisors, whose sum is σ = 429444300800. Its totient is φ = 32606945280.

The previous prime is 120479256563. The next prime is 120479256587. The reversal of 120479256576 is 675652974021.

It is a happy number.

120479256576 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 7 + 9 + 2 + 565 + 76 = 666.

120479256576 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14704641 + ... + 14712831.

Almost surely, 2^120479256576 is an apocalyptic number.

120479256576 is a gapful number since it is divisible by the number (16) 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 120479256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214722150400).

120479256576 is an abundant number, since it is smaller than the sum of its proper divisors (308965044224).

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

120479256576 is an equidigital number, since it uses as much as digits as its factorization.

120479256576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 120479256576 in words is "one hundred twenty billion, four hundred seventy-nine million, two hundred fifty-six thousand, five hundred seventy-six".