54917315960832 has 1344 divisors, whose sum is σ = 184300917615360. Its totient is φ = 16253308108800.

The previous prime is 54917315960803. The next prime is 54917315960909. The reversal of 54917315960832 is 23806951371945.

54917315960832 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 7 + 3 + 1 + 596 + 0 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54917315960832.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773483323357 + ... + 773483323427.

It is an arithmetic number, because the mean of its divisors is an integer number (137128658940).

It is a 1-persistent number, because it is pandigital, but 2⋅54917315960832 = 109834631921664 is not.

Almost surely, 2^{54917315960832} is an apocalyptic number.

54917315960832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54917315960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92150458807680).

54917315960832 is an abundant number, since it is smaller than the sum of its proper divisors (129383601654528).

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

54917315960832 is an frugal number, since it uses more digits than its factorization.

54917315960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 54917315960832 in words is "fifty-four trillion, nine hundred seventeen billion, three hundred fifteen million, nine hundred sixty thousand, eight hundred thirty-two".