54319120128 has 864 divisors, whose sum is σ = 205193889600. Its totient is φ = 14129676288.

The previous prime is 54319120117. The next prime is 54319120147. The reversal of 54319120128 is 82102191345.

54319120128 is a `hidden beast` number, since 543 + 1 + 91 + 2 + 0 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×54319120128² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54319120092 and 54319120101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744097500 + ... + 744097572.

Almost surely, 2^54319120128 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 54319120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102596944800).

54319120128 is an abundant number, since it is smaller than the sum of its proper divisors (150874769472).

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

54319120128 is an equidigital number, since it uses as much as digits as its factorization.

54319120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 54319120128 in words is "fifty-four billion, three hundred nineteen million, one hundred twenty thousand, one hundred twenty-eight".