54282258000 has 640 divisors, whose sum is σ = 213093504000. Its totient is φ = 13147545600.

The previous prime is 54282257963. The next prime is 54282258007. The reversal of 54282258000 is 85228245.

54282258000 is a `hidden beast` number, since 5 + 428 + 225 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54282258007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26620981 + ... + 26623019.

It is an arithmetic number, because the mean of its divisors is an integer number (332958600).

Almost surely, 2^54282258000 is an apocalyptic number.

54282258000 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 54282258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752000).

54282258000 is an abundant number, since it is smaller than the sum of its proper divisors (158811246000).

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

54282258000 is a wasteful number, since it uses less digits than its factorization.

54282258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 54282258000 in words is "fifty-four billion, two hundred eighty-two million, two hundred fifty-eight thousand".