527228799600 has 480 divisors, whose sum is σ = 1827308134080. Its totient is φ = 129448017920.

The previous prime is 527228799577. The next prime is 527228799607. The reversal of 527228799600 is 6997822725.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527228799607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615202372 + ... + 615203228.

It is an arithmetic number, because the mean of its divisors is an integer number (3806891946).

Almost surely, 2^527228799600 is an apocalyptic number.

527228799600 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 527228799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913654067040).

527228799600 is an abundant number, since it is smaller than the sum of its proper divisors (1300079334480).

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

527228799600 is a wasteful number, since it uses less digits than its factorization.

527228799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 527228799600 in words is "five hundred twenty-seven billion, two hundred twenty-eight million, seven hundred ninety-nine thousand, six hundred".