54416160 has 288 divisors, whose sum is σ = 203793408. Its totient is φ = 13178880.

The previous prime is 54416149. The next prime is 54416189. The reversal of 54416160 is 6161445.

54416160 is a `hidden beast` number, since 5 + 4 + 41 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×54416160² = 5922236938291200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1026694 + ... + 1026746.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^54416160 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 54416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896704).

54416160 is an abundant number, since it is smaller than the sum of its proper divisors (149377248).

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

54416160 is a wasteful number, since it uses less digits than its factorization.

54416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54416160 is about 7376.7309833015. The cubic root of 54416160 is about 378.9448104116.

The spelling of 54416160 in words is "fifty-four million, four hundred sixteen thousand, one hundred sixty".