5210145600 has 336 divisors, whose sum is σ = 18851489856. Its totient is φ = 1249280000.

The previous prime is 5210145557. The next prime is 5210145607. The reversal of 5210145600 is 65410125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210145607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332312 + ... + 5333288.

Almost surely, 2^5210145600 is an apocalyptic number.

5210145600 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 5210145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425744928).

5210145600 is an abundant number, since it is smaller than the sum of its proper divisors (13641344256).

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

5210145600 is a wasteful number, since it uses less digits than its factorization.

5210145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5210145600 is about 72181.3383084575. The cubic root of 5210145600 is about 1733.6042114465.

Adding to 5210145600 its reverse (65410125), we get a palindrome (5275555725).

The spelling of 5210145600 in words is "five billion, two hundred ten million, one hundred forty-five thousand, six hundred".