5282054400 has 216 divisors, whose sum is σ = 19922655424. Its totient is φ = 1207296000.

The previous prime is 5282054303. The next prime is 5282054429. The reversal of 5282054400 is 44502825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114750 + ... + 154050.

Almost surely, 2^5282054400 is an apocalyptic number.

5282054400 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 5282054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9961327712).

5282054400 is an abundant number, since it is smaller than the sum of its proper divisors (14640601024).

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

5282054400 is a wasteful number, since it uses less digits than its factorization.

5282054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39337 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 5282054400 is about 72677.7434982677. The cubic root of 5282054400 is about 1741.5433525578.

The spelling of 5282054400 in words is "five billion, two hundred eighty-two million, fifty-four thousand, four hundred".