54312729120 has 480 divisors, whose sum is σ = 213102489600. Its totient is φ = 12936775680.

The previous prime is 54312729077. The next prime is 54312729139. The reversal of 54312729120 is 2192721345.

54312729120 is a `hidden beast` number, since 54 + 312 + 7 + 291 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5217681 + ... + 5228079.

It is an arithmetic number, because the mean of its divisors is an integer number (443963520).

Almost surely, 2^54312729120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54312729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106551244800).

54312729120 is an abundant number, since it is smaller than the sum of its proper divisors (158789760480).

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

54312729120 is a wasteful number, since it uses less digits than its factorization.

54312729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 54312729120 in words is "fifty-four billion, three hundred twelve million, seven hundred twenty-nine thousand, one hundred twenty".