54286848000 has 2080 divisors, whose sum is σ = 267171810048. Its totient is φ = 10616832000.

The previous prime is 54286847999. The next prime is 54286848001. The reversal of 54286848000 is 84868245.

54286848000 is a `hidden beast` number, since 542 + 8 + 68 + 48 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54286847999) and next prime (54286848001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54286848001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3193343992 + ... + 3193344008.

Almost surely, 2^54286848000 is an apocalyptic number.

54286848000 is a gapful number since it is divisible by the number (50) 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 54286848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585905024).

54286848000 is an abundant number, since it is smaller than the sum of its proper divisors (212884962048).

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

54286848000 is a wasteful number, since it uses less digits than its factorization.

54286848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 54286848000 in words is "fifty-four billion, two hundred eighty-six million, eight hundred forty-eight thousand".