54109017664 has 168 divisors, whose sum is σ = 125407994040. Its totient is φ = 22946660352.

The previous prime is 54109017659. The next prime is 54109017691. The reversal of 54109017664 is 46671090145.

It can be written as a sum of positive squares in 4 ways, for example, as 1304654400 + 52804363264 = 36120^2 + 229792^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 54109017664.

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 23 ways as a sum of consecutive naturals, for example, 26151222 + ... + 26153290.

It is an arithmetic number, because the mean of its divisors is an integer number (746476155).

Almost surely, 2^54109017664 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 54109017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62703997020).

54109017664 is an abundant number, since it is smaller than the sum of its proper divisors (71298976376).

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

54109017664 is a wasteful number, since it uses less digits than its factorization.

54109017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 54109017664 in words is "fifty-four billion, one hundred nine million, seventeen thousand, six hundred sixty-four".