54458015821440 has 2048 divisors, whose sum is σ = 224829277102080. Its totient is φ = 10886924206080.

The previous prime is 54458015821421. The next prime is 54458015821501. The reversal of 54458015821440 is 4412851085445.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104126225019 + ... + 104126225541.

It is an arithmetic number, because the mean of its divisors is an integer number (109779920460).

Almost surely, 2^{54458015821440} 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 54458015821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112414638551040).

54458015821440 is an abundant number, since it is smaller than the sum of its proper divisors (170371261280640).

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

54458015821440 is a wasteful number, since it uses less digits than its factorization.

54458015821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 51.

The spelling of 54458015821440 in words is "fifty-four trillion, four hundred fifty-eight billion, fifteen million, eight hundred twenty-one thousand, four hundred forty".