54084635136 has 480 divisors, whose sum is σ = 191718384000. Its totient is φ = 14631321600.

The previous prime is 54084635123. The next prime is 54084635153. The reversal of 54084635136 is 63153648045.

54084635136 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 4 + 635 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54084635091 and 54084635100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30029436 + ... + 30031236.

It is an arithmetic number, because the mean of its divisors is an integer number (399413300).

Almost surely, 2^54084635136 is an apocalyptic number.

54084635136 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 54084635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95859192000).

54084635136 is an abundant number, since it is smaller than the sum of its proper divisors (137633748864).

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

54084635136 is a wasteful number, since it uses less digits than its factorization.

54084635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54084635136 in words is "fifty-four billion, eighty-four million, six hundred thirty-five thousand, one hundred thirty-six".