54119520 has 432 divisors, whose sum is σ = 235282320. Its totient is φ = 11225088.

The previous prime is 54119509. The next prime is 54119531. The reversal of 54119520 is 2591145.

It is an interprime number because it is at equal distance from previous prime (54119509) and next prime (54119531).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917251 + ... + 917309.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^54119520 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 54119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

54119520 is an abundant number, since it is smaller than the sum of its proper divisors (181162800).

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

54119520 is a wasteful number, since it uses less digits than its factorization.

54119520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 54119520 is about 7356.5970393926. The cubic root of 54119520 is about 378.2549720082.

The spelling of 54119520 in words is "fifty-four million, one hundred nineteen thousand, five hundred twenty".