54086858824960 has 432 divisors, whose sum is σ = 148833853459200. Its totient is φ = 18716754051072.

The previous prime is 54086858824951. The next prime is 54086858824963. The reversal of 54086858824960 is 6942885868045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54086858824963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149317911 + ... + 1149364969.

Almost surely, 2^{54086858824960} 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 54086858824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74416926729600).

54086858824960 is an abundant number, since it is smaller than the sum of its proper divisors (94746994634240).

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

54086858824960 is a wasteful number, since it uses less digits than its factorization.

54086858824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47366 (or 47335 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 73.

The spelling of 54086858824960 in words is "fifty-four trillion, eighty-six billion, eight hundred fifty-eight million, eight hundred twenty-four thousand, nine hundred sixty".