54127535616 has 1440 divisors, whose sum is σ = 221227269120. Its totient is φ = 12541132800.

The previous prime is 54127535569. The next prime is 54127535617. The reversal of 54127535616 is 61653572145.

54127535616 is a `hidden beast` number, since 5 + 4 + 1 + 27 + 5 + 3 + 5 + 616 = 666.

It is a super-2 number, since 2×54127535616² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54127535617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1462906350 + ... + 1462906386.

It is an arithmetic number, because the mean of its divisors is an integer number (153630048).

Almost surely, 2^54127535616 is an apocalyptic number.

54127535616 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 54127535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110613634560).

54127535616 is an abundant number, since it is smaller than the sum of its proper divisors (167099733504).

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

54127535616 is a wasteful number, since it uses less digits than its factorization.

54127535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 54127535616 in words is "fifty-four billion, one hundred twenty-seven million, five hundred thirty-five thousand, six hundred sixteen".