54457859224080 has 1920 divisors, whose sum is σ = 214257161664000. Its totient is φ = 12767350947840.

The previous prime is 54457859224031. The next prime is 54457859224081. The reversal of 54457859224080 is 8042295875445.

54457859224080 is a `hidden beast` number, since 5 + 4 + 4 + 578 + 59 + 2 + 2 + 4 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54457859223999 and 54457859224017.

It is not an unprimeable number, because it can be changed into a prime (54457859224081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139994496526 + ... + 139994496914.

It is an arithmetic number, because the mean of its divisors is an integer number (111592271700).

Almost surely, 2^{54457859224080} 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 54457859224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107128580832000).

54457859224080 is an abundant number, since it is smaller than the sum of its proper divisors (159799302439920).

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

54457859224080 is a wasteful number, since it uses less digits than its factorization.

54457859224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 54457859224080 in words is "fifty-four trillion, four hundred fifty-seven billion, eight hundred fifty-nine million, two hundred twenty-four thousand, eighty".