527363310400 has 84 divisors (see below), whose sum is σ = 1373975378028. Its totient is φ = 198536765440.

The previous prime is 527363310361. The next prime is 527363310403. The reversal of 527363310400 is 4013363725.

It can be written as a sum of positive squares in 6 ways, for example, as 23933327616 + 503429982784 = 154704^2 + 709528^2 .

It is a super-2 number, since 2×527363310400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527363310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9666979 + ... + 9721378.

Almost surely, 2^527363310400 is an apocalyptic number.

527363310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

527363310400 is an abundant number, since it is smaller than the sum of its proper divisors (846612067628).

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

527363310400 is a wasteful number, since it uses less digits than its factorization.

527363310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388396 (or 19388381 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 527363310400 in words is "five hundred twenty-seven billion, three hundred sixty-three million, three hundred ten thousand, four hundred".