54467849843280 has 720 divisors, whose sum is σ = 195981823342656. Its totient is φ = 13552261632000.

The previous prime is 54467849843273. The next prime is 54467849843287. The reversal of 54467849843280 is 8234894876445.

54467849843280 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 78 + 49 + 8 + 432 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54467849843273) and next prime (54467849843287).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×54467849843280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54467849843199 and 54467849843208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54467849843287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16754181655 + ... + 16754184905.

Almost surely, 2^{54467849843280} 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 54467849843280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990911671328).

54467849843280 is an abundant number, since it is smaller than the sum of its proper divisors (141513973499376).

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

54467849843280 is a wasteful number, since it uses less digits than its factorization.

54467849843280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 54467849843280 in words is "fifty-four trillion, four hundred sixty-seven billion, eight hundred forty-nine million, eight hundred forty-three thousand, two hundred eighty".