827200813375 has 16 divisors (see below), whose sum is σ = 1093072889376. Its totient is φ = 622833552000.

The previous prime is 827200813367. The next prime is 827200813427. The reversal of 827200813375 is 573318002728.

It is not a de Polignac number, because 827200813375 - 2³ = 827200813367 is a prime.

It is a super-2 number, since 2×827200813375² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194633361 + ... + 194637610.

It is an arithmetic number, because the mean of its divisors is an integer number (68317055586).

Almost surely, 2^827200813375 is an apocalyptic number.

827200813375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

827200813375 is a deficient number, since it is larger than the sum of its proper divisors (265872076001).

827200813375 is a wasteful number, since it uses less digits than its factorization.

827200813375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389271003 (or 389270993 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 827200813375 in words is "eight hundred twenty-seven billion, two hundred million, eight hundred thirteen thousand, three hundred seventy-five".