54317256240 has 320 divisors, whose sum is σ = 202112064000. Its totient is φ = 11921375232.

The previous prime is 54317256229. The next prime is 54317256269. The reversal of 54317256240 is 4265271345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 980811 + ... + 1034709.

It is an arithmetic number, because the mean of its divisors is an integer number (631600200).

Almost surely, 2^54317256240 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 54317256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056032000).

54317256240 is an abundant number, since it is smaller than the sum of its proper divisors (147794807760).

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

54317256240 is a wasteful number, since it uses less digits than its factorization.

54317256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53964 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 54317256240 in words is "fifty-four billion, three hundred seventeen million, two hundred fifty-six thousand, two hundred forty".