5382624000 has 576 divisors, whose sum is σ = 20356277760. Its totient is φ = 1249689600.

The previous prime is 5382623977. The next prime is 5382624011. The reversal of 5382624000 is 4262835.

It is a super-2 number, since 2×5382624000² = 57945282250752000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23711887 + ... + 23712113.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 2^5382624000 is an apocalyptic number.

5382624000 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 5382624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178138880).

5382624000 is an abundant number, since it is smaller than the sum of its proper divisors (14973653760).

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

5382624000 is a wasteful number, since it uses less digits than its factorization.

5382624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5382624000 is about 73366.3683168248. The cubic root of 5382624000 is about 1752.5268530816.

Adding to 5382624000 its reverse (4262835), we get a palindrome (5386886835).

The spelling of 5382624000 in words is "five billion, three hundred eighty-two million, six hundred twenty-four thousand".