54012016512 has 256 divisors, whose sum is σ = 172084608000. Its totient is φ = 16626677760.

The previous prime is 54012016477. The next prime is 54012016519. The reversal of 54012016512 is 21561021045.

54012016512 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 2 + 0 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×54012016512² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54012016519) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2293437 + ... + 2316867.

It is an arithmetic number, because the mean of its divisors is an integer number (672205500).

Almost surely, 2^54012016512 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 54012016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042304000).

54012016512 is an abundant number, since it is smaller than the sum of its proper divisors (118072591488).

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

54012016512 is a wasteful number, since it uses less digits than its factorization.

54012016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23506 (or 23488 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 54012016512 its reverse (21561021045), we get a palindrome (75573037557).

The spelling of 54012016512 in words is "fifty-four billion, twelve million, sixteen thousand, five hundred twelve".