827368453350 has 768 divisors, whose sum is σ = 2623949199360. Its totient is φ = 192887101440.

The previous prime is 827368453339. The next prime is 827368453369. The reversal of 827368453350 is 53354863728.

It is a happy number.

827368453350 is a `hidden beast` number, since 8 + 27 + 3 + 6 + 84 + 533 + 5 + 0 = 666.

It is a super-2 number, since 2×827368453350² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1581966189 + ... + 1581966711.

It is an arithmetic number, because the mean of its divisors is an integer number (3416600520).

Almost surely, 2^827368453350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827368453350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311974599680).

827368453350 is an abundant number, since it is smaller than the sum of its proper divisors (1796580746010).

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

827368453350 is a wasteful number, since it uses less digits than its factorization.

827368453350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 827368453350 in words is "eight hundred twenty-seven billion, three hundred sixty-eight million, four hundred fifty-three thousand, three hundred fifty".