54517757168 has 80 divisors (see below), whose sum is σ = 126190018560. Its totient is φ = 22324723200.

The previous prime is 54517757167. The next prime is 54517757191. The reversal of 54517757168 is 86175771545.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54517757167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174908 + ... + 373668.

It is an arithmetic number, because the mean of its divisors is an integer number (1577375232).

Almost surely, 2^54517757168 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 54517757168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095009280).

54517757168 is an abundant number, since it is smaller than the sum of its proper divisors (71672261392).

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

54517757168 is a wasteful number, since it uses less digits than its factorization.

54517757168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198886 (or 198880 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 56.

The spelling of 54517757168 in words is "fifty-four billion, five hundred seventeen million, seven hundred fifty-seven thousand, one hundred sixty-eight".