54625680875520 has 2016 divisors, whose sum is σ = 208019076894720. Its totient is φ = 13750814638080.

The previous prime is 54625680875477. The next prime is 54625680875609. The reversal of 54625680875520 is 2557808652645.

54625680875520 is a `hidden beast` number, since 5 + 4 + 6 + 25 + 6 + 8 + 0 + 87 + 5 + 520 = 666.

It is a super-2 number, since 2×54625680875520² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 658140733399 + ... + 658140733481.

It is an arithmetic number, because the mean of its divisors is an integer number (103184065920).

Almost surely, 2^{54625680875520} 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 54625680875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104009538447360).

54625680875520 is an abundant number, since it is smaller than the sum of its proper divisors (153393396019200).

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

54625680875520 is an frugal number, since it uses more digits than its factorization.

54625680875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 54625680875520 in words is "fifty-four trillion, six hundred twenty-five billion, six hundred eighty million, eight hundred seventy-five thousand, five hundred twenty".