54234319360 has 320 divisors, whose sum is σ = 149251509792. Its totient is φ = 18723373056.

The previous prime is 54234319339. The next prime is 54234319387. The reversal of 54234319360 is 6391343245.

It can be written as a sum of positive squares in 16 ways, for example, as 18631158016 + 35603161344 = 136496^2 + 188688^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×54234319360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 145400134 + ... + 145400506.

Almost surely, 2^54234319360 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 54234319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74625754896).

54234319360 is an abundant number, since it is smaller than the sum of its proper divisors (95017190432).

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

54234319360 is a wasteful number, since it uses less digits than its factorization.

54234319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 54234319360 in words is "fifty-four billion, two hundred thirty-four million, three hundred nineteen thousand, three hundred sixty".