54624413985120 has 864 divisors, whose sum is σ = 217860228881568. Its totient is φ = 12426934173696.

The previous prime is 54624413985103. The next prime is 54624413985133. The reversal of 54624413985120 is 2158931442645.

54624413985120 is a `hidden beast` number, since 5 + 4 + 6 + 24 + 4 + 13 + 98 + 512 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18497937564 + ... + 18497940516.

It is an arithmetic number, because the mean of its divisors is an integer number (252153042687).

Almost surely, 2^{54624413985120} 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 54624413985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108930114440784).

54624413985120 is an abundant number, since it is smaller than the sum of its proper divisors (163235814896448).

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

54624413985120 is a wasteful number, since it uses less digits than its factorization.

54624413985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 54624413985120 in words is "fifty-four trillion, six hundred twenty-four billion, four hundred thirteen million, nine hundred eighty-five thousand, one hundred twenty".