54958138560 has 672 divisors, whose sum is σ = 218477226240. Its totient is φ = 12559712256.

The previous prime is 54958138531. The next prime is 54958138567. The reversal of 54958138560 is 6583185945.

54958138560 is a `hidden beast` number, since 5 + 4 + 9 + 581 + 3 + 8 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54958138497 and 54958138506.

It is not an unprimeable number, because it can be changed into a prime (54958138567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50281374 + ... + 50282466.

It is an arithmetic number, because the mean of its divisors is an integer number (325114920).

Almost surely, 2^54958138560 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 54958138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238613120).

54958138560 is an abundant number, since it is smaller than the sum of its proper divisors (163519087680).

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

54958138560 is a wasteful number, since it uses less digits than its factorization.

54958138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 54958138560 in words is "fifty-four billion, nine hundred fifty-eight million, one hundred thirty-eight thousand, five hundred sixty".