120587640726960 has 480 divisors, whose sum is σ = 442391473704960. Its totient is φ = 29193550848000.

The previous prime is 120587640726929. The next prime is 120587640726967. The reversal of 120587640726960 is 69627046785021.

120587640726960 is a `hidden beast` number, since 1 + 2 + 0 + 58 + 76 + 407 + 26 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (120587640726967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28994381361 + ... + 28994385519.

It is an arithmetic number, because the mean of its divisors is an integer number (921648903552).

Almost surely, 2^{120587640726960} is an apocalyptic number.

120587640726960 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 120587640726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221195736852480).

120587640726960 is an abundant number, since it is smaller than the sum of its proper divisors (321803832978000).

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

120587640726960 is a wasteful number, since it uses less digits than its factorization.

120587640726960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 120587640726960 in words is "one hundred twenty trillion, five hundred eighty-seven billion, six hundred forty million, seven hundred twenty-six thousand, nine hundred sixty".