5289429600 has 1296 divisors, whose sum is σ = 24977901312. Its totient is φ = 1067489280.

The previous prime is 5289429599. The next prime is 5289429601. The reversal of 5289429600 is 69249825.

It is an interprime number because it is at equal distance from previous prime (5289429599) and next prime (5289429601).

It is a tau number, because it is divible by the number of its divisors (1296).

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 (5289429601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 229975189 + ... + 229975211.

It is an arithmetic number, because the mean of its divisors is an integer number (19273072).

Almost surely, 2^5289429600 is an apocalyptic number.

5289429600 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 5289429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488950656).

5289429600 is an abundant number, since it is smaller than the sum of its proper divisors (19688471712).

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

5289429600 is a wasteful number, since it uses less digits than its factorization.

5289429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5289429600 is about 72728.4648538658. The cubic root of 5289429600 is about 1742.3535333555.

The spelling of 5289429600 in words is "five billion, two hundred eighty-nine million, four hundred twenty-nine thousand, six hundred".