5392534400 has 288 divisors, whose sum is σ = 15434038200. Its totient is φ = 1855180800.

The previous prime is 5392534393. The next prime is 5392534423. The reversal of 5392534400 is 44352935.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7356434 + ... + 7357166.

Almost surely, 2^5392534400 is an apocalyptic number.

5392534400 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 5392534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717019100).

5392534400 is an abundant number, since it is smaller than the sum of its proper divisors (10041503800).

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

5392534400 is a wasteful number, since it uses less digits than its factorization.

5392534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 5392534400 is about 73433.8777404544. The cubic root of 5392534400 is about 1753.6017683174.

It can be divided in two parts, 539 and 2534400, that multiplied together give a square (1366041600 = 36960²).

The spelling of 5392534400 in words is "five billion, three hundred ninety-two million, five hundred thirty-four thousand, four hundred".