827393990544 has 225 divisors, whose sum is σ = 2633357407681. Its totient is φ = 250616298240.

The previous prime is 827393990513. The next prime is 827393990561. The reversal of 827393990544 is 445099393728.

The square root of 827393990544 is 909612.

It is a perfect power (a square), and thus also a powerful number.

827393990544 is a `hidden beast` number, since 8 + 27 + 39 + 39 + 9 + 0 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389001690000 + 438392300544 = 623700^2 + 662112^2 .

It is a super-2 number, since 2×827393990544² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 360205204 + ... + 360207500.

Almost surely, 2^827393990544 is an apocalyptic number.

827393990544 is the 909612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827393990544

827393990544 is an abundant number, since it is smaller than the sum of its proper divisors (1805963417137).

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

827393990544 is an equidigital number, since it uses as much as digits as its factorization.

827393990544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 827393990544 in words is "eight hundred twenty-seven billion, three hundred ninety-three million, nine hundred ninety thousand, five hundred forty-four".