54576222624 has 288 divisors, whose sum is σ = 196153985664. Its totient is φ = 13981040640.

The previous prime is 54576222583. The next prime is 54576222647. The reversal of 54576222624 is 42622267545.

It is a happy number.

54576222624 is a `hidden beast` number, since 54 + 576 + 2 + 2 + 2 + 6 + 24 = 666.

54576222624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 54576222624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1601992 + ... + 1635704.

It is an arithmetic number, because the mean of its divisors is an integer number (681090228).

Almost surely, 2^54576222624 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 54576222624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98076992832).

54576222624 is an abundant number, since it is smaller than the sum of its proper divisors (141577763040).

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

54576222624 is a wasteful number, since it uses less digits than its factorization.

54576222624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33820 (or 33809 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 54576222624 in words is "fifty-four billion, five hundred seventy-six million, two hundred twenty-two thousand, six hundred twenty-four".