5197528800 has 216 divisors, whose sum is σ = 18536001120. Its totient is φ = 1370265600.

The previous prime is 5197528771. The next prime is 5197528811. The reversal of 5197528800 is 88257915.

It is a happy number.

5197528800 is a `hidden beast` number, since 519 + 7 + 52 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 636745 + ... + 644855.

It is an arithmetic number, because the mean of its divisors is an integer number (85814820).

Almost surely, 2^5197528800 is an apocalyptic number.

5197528800 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 5197528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268000560).

5197528800 is an abundant number, since it is smaller than the sum of its proper divisors (13338472320).

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

5197528800 is a wasteful number, since it uses less digits than its factorization.

5197528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5197528800 is about 72093.8887840017. Note that the first 3 decimals coincide. The cubic root of 5197528800 is about 1732.2037248783.

The spelling of 5197528800 in words is "five billion, one hundred ninety-seven million, five hundred twenty-eight thousand, eight hundred".