54566322624 has 504 divisors, whose sum is σ = 180613165824. Its totient is φ = 16320268800.

The previous prime is 54566322593. The next prime is 54566322631. The reversal of 54566322624 is 42622366545.

54566322624 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 632 + 2 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54566322624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201351609 + ... + 201351879.

It is an arithmetic number, because the mean of its divisors is an integer number (358359456).

Almost surely, 2^54566322624 is an apocalyptic number.

54566322624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54566322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306582912).

54566322624 is an abundant number, since it is smaller than the sum of its proper divisors (126046843200).

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

54566322624 is a wasteful number, since it uses less digits than its factorization.

54566322624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 394 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 54566322624 in words is "fifty-four billion, five hundred sixty-six million, three hundred twenty-two thousand, six hundred twenty-four".