827494137600 has 432 divisors, whose sum is σ = 2946056461152. Its totient is φ = 203338874880.

The previous prime is 827494137599. The next prime is 827494137601. The reversal of 827494137600 is 6731494728.

It is an interprime number because it is at equal distance from previous prime (827494137599) and next prime (827494137601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827494137601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162986262 + ... + 162991338.

Almost surely, 2^827494137600 is an apocalyptic number.

827494137600 is a gapful number since it is divisible by the number (80) 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 827494137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473028230576).

827494137600 is an abundant number, since it is smaller than the sum of its proper divisors (2118562323552).

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

827494137600 is a wasteful number, since it uses less digits than its factorization.

827494137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 827494137600 in words is "eight hundred twenty-seven billion, four hundred ninety-four million, one hundred thirty-seven thousand, six hundred".