120167055360 has 720 divisors, whose sum is σ = 470665188000. Its totient is φ = 29066526720.

The previous prime is 120167055353. The next prime is 120167055377. The reversal of 120167055360 is 63550761021.

120167055360 is a `hidden beast` number, since 1 + 20 + 16 + 70 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267632416 + ... + 267632864.

It is an arithmetic number, because the mean of its divisors is an integer number (653701650).

Almost surely, 2^120167055360 is an apocalyptic number.

120167055360 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 120167055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235332594000).

120167055360 is an abundant number, since it is smaller than the sum of its proper divisors (350498132640).

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

120167055360 is an equidigital number, since it uses as much as digits as its factorization.

120167055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 120167055360 in words is "one hundred twenty billion, one hundred sixty-seven million, fifty-five thousand, three hundred sixty".