54642228480 has 864 divisors, whose sum is σ = 231356926080. Its totient is φ = 12169543680.

The previous prime is 54642228467. The next prime is 54642228481. The reversal of 54642228480 is 8482224645.

54642228480 is a `hidden beast` number, since 546 + 4 + 2 + 2 + 28 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×54642228480² (a number of 22 digits) contains 22 as substring.

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 (54642228481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 69430647 + ... + 69431433.

It is an arithmetic number, because the mean of its divisors is an integer number (267774220).

Almost surely, 2^54642228480 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 54642228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115678463040).

54642228480 is an abundant number, since it is smaller than the sum of its proper divisors (176714697600).

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

54642228480 is a wasteful number, since it uses less digits than its factorization.

54642228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 54642228480 in words is "fifty-four billion, six hundred forty-two million, two hundred twenty-eight thousand, four hundred eighty".