5410252800 has 432 divisors, whose sum is σ = 19803420000. Its totient is φ = 1411153920.

The previous prime is 5410252781. The next prime is 5410252801. The reversal of 5410252800 is 82520145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5410252801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27187101 + ... + 27187299.

It is an arithmetic number, because the mean of its divisors is an integer number (45841250).

Almost surely, 2^5410252800 is an apocalyptic number.

5410252800 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 5410252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901710000).

5410252800 is an abundant number, since it is smaller than the sum of its proper divisors (14393167200).

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

5410252800 is a wasteful number, since it uses less digits than its factorization.

5410252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5410252800 is about 73554.4206693248. The cubic root of 5410252800 is about 1755.5202879442.

Adding to 5410252800 its reverse (82520145), we get a palindrome (5492772945).

The spelling of 5410252800 in words is "five billion, four hundred ten million, two hundred fifty-two thousand, eight hundred".