54652216320 has 1056 divisors, whose sum is σ = 220313533440. Its totient is φ = 12899450880.

The previous prime is 54652216277. The next prime is 54652216343. The reversal of 54652216320 is 2361225645.

54652216320 is a `hidden beast` number, since 54 + 6 + 522 + 1 + 63 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501396426 + ... + 501396534.

It is an arithmetic number, because the mean of its divisors is an integer number (208630240).

Almost surely, 2^54652216320 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 54652216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110156766720).

54652216320 is an abundant number, since it is smaller than the sum of its proper divisors (165661317120).

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

54652216320 is a wasteful number, since it uses less digits than its factorization.

54652216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54652216320 in words is "fifty-four billion, six hundred fifty-two million, two hundred sixteen thousand, three hundred twenty".