5298145200 has 300 divisors, whose sum is σ = 20135217960. Its totient is φ = 1329592320.

The previous prime is 5298145199. The next prime is 5298145219. The reversal of 5298145200 is 25418925.

5298145200 is a `hidden beast` number, since 52 + 9 + 81 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 545991 + ... + 555609.

Almost surely, 2^5298145200 is an apocalyptic number.

5298145200 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 5298145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067608980).

5298145200 is an abundant number, since it is smaller than the sum of its proper divisors (14837072760).

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

5298145200 is a wasteful number, since it uses less digits than its factorization.

5298145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5298145200 is about 72788.3589593831. The cubic root of 5298145200 is about 1743.3099895686.

The spelling of 5298145200 in words is "five billion, two hundred ninety-eight million, one hundred forty-five thousand, two hundred".