54616446720 has 1008 divisors, whose sum is σ = 227287583712. Its totient is φ = 12421693440.

The previous prime is 54616446707. The next prime is 54616446727. The reversal of 54616446720 is 2764461645.

54616446720 is a `hidden beast` number, since 5 + 4 + 6 + 164 + 467 + 20 = 666.

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 (54616446727) 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 111 ways as a sum of consecutive naturals, for example, 174493284 + ... + 174493596.

It is an arithmetic number, because the mean of its divisors is an integer number (225483714).

Almost surely, 2^54616446720 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 54616446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113643791856).

54616446720 is an abundant number, since it is smaller than the sum of its proper divisors (172671136992).

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

54616446720 is a wasteful number, since it uses less digits than its factorization.

54616446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54616446720 in words is "fifty-four billion, six hundred sixteen million, four hundred forty-six thousand, seven hundred twenty".