120585457776 has 160 divisors (see below), whose sum is σ = 360780480000. Its totient is φ = 33993400320.

The previous prime is 120585457771. The next prime is 120585457813. The reversal of 120585457776 is 677754585021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120585457771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14918056 + ... + 14926136.

It is an arithmetic number, because the mean of its divisors is an integer number (2254878000).

Almost surely, 2^120585457776 is an apocalyptic number.

120585457776 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 120585457776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180390240000).

120585457776 is an abundant number, since it is smaller than the sum of its proper divisors (240195022224).

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

120585457776 is a wasteful number, since it uses less digits than its factorization.

120585457776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 120585457776 in words is "one hundred twenty billion, five hundred eighty-five million, four hundred fifty-seven thousand, seven hundred seventy-six".