54875842560 has 1728 divisors, whose sum is σ = 258287702400. Its totient is φ = 10510663680.

The previous prime is 54875842543. The next prime is 54875842591. The reversal of 54875842560 is 6524857845.

54875842560 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 584 + 2 + 56 + 0 = 666.

It is a super-2 number, since 2×54875842560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54875842497 and 54875842506.

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, 1483130862 + ... + 1483130898.

It is an arithmetic number, because the mean of its divisors is an integer number (149472050).

Almost surely, 2^54875842560 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 54875842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129143851200).

54875842560 is an abundant number, since it is smaller than the sum of its proper divisors (203411859840).

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

54875842560 is a wasteful number, since it uses less digits than its factorization.

54875842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 54875842560 in words is "fifty-four billion, eight hundred seventy-five million, eight hundred forty-two thousand, five hundred sixty".