5729097600 has 720 divisors, whose sum is σ = 22795427160. Its totient is φ = 1414195200.

The previous prime is 5729097599. The next prime is 5729097601. The reversal of 5729097600 is 67909275.

5729097600 is a `hidden beast` number, since 572 + 9 + 0 + 9 + 76 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5729097599) and next prime (5729097601).

It is a tau number, because it is divible by the number of its divisors (720).

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 (5729097601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 184809585 + ... + 184809615.

Almost surely, 2^5729097600 is an apocalyptic number.

5729097600 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 5729097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11397713580).

5729097600 is an abundant number, since it is smaller than the sum of its proper divisors (17066329560).

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

5729097600 is a wasteful number, since it uses less digits than its factorization.

5729097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 5729097600 is about 75690.8026116780. The cubic root of 5729097600 is about 1789.3504504221.

The spelling of 5729097600 in words is "five billion, seven hundred twenty-nine million, ninety-seven thousand, six hundred".