54016512 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 15544320.

The previous prime is 54016511. The next prime is 54016553. The reversal of 54016512 is 21561045.

It is a super-2 number, since 2×54016512² = 5835567137292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54016511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388539 + ... + 388677.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^54016512 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 54016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

54016512 is an abundant number, since it is smaller than the sum of its proper divisors (110972928).

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

54016512 is a wasteful number, since it uses less digits than its factorization.

54016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 54016512 is about 7349.5926417727. The cubic root of 54016512 is about 378.0148366283.

Adding to 54016512 its reverse (21561045), we get a palindrome (75577557).

The spelling of 54016512 in words is "fifty-four million, sixteen thousand, five hundred twelve".