54119016 has 192 divisors, whose sum is σ = 179786880. Its totient is φ = 14929920.

The previous prime is 54119003. The next prime is 54119053. The reversal of 54119016 is 61091145.

54119016 = T₄₆₅ + T₄₆₆ + ... + T₇₅₁.

54119016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557880 + ... + 557976.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 2^54119016 is an apocalyptic number.

54119016 is a gapful number since it is divisible by the number (56) 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 54119016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893440).

54119016 is an abundant number, since it is smaller than the sum of its proper divisors (125667864).

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

54119016 is a wasteful number, since it uses less digits than its factorization.

54119016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 54119016 is about 7356.5627843443. The cubic root of 54119016 is about 378.2537978102.

The spelling of 54119016 in words is "fifty-four million, one hundred nineteen thousand, sixteen".