54464417280 has 960 divisors, whose sum is σ = 242555100480. Its totient is φ = 11482103808.

The previous prime is 54464417251. The next prime is 54464417281. The reversal of 54464417280 is 8271446445.

54464417280 is a `hidden beast` number, since 5 + 4 + 464 + 41 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54464417281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44028822 + ... + 44030058.

It is an arithmetic number, because the mean of its divisors is an integer number (252661563).

Almost surely, 2^54464417280 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 54464417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121277550240).

54464417280 is an abundant number, since it is smaller than the sum of its proper divisors (188090683200).

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

54464417280 is a wasteful number, since it uses less digits than its factorization.

54464417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54464417280 in words is "fifty-four billion, four hundred sixty-four million, four hundred seventeen thousand, two hundred eighty".