827093718000 has 480 divisors, whose sum is σ = 3156696833472. Its totient is φ = 200169216000.

The previous prime is 827093717851. The next prime is 827093718001. The reversal of 827093718000 is 817390728.

827093718000 is a `hidden beast` number, since 8 + 270 + 9 + 371 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827093718001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129290802 + ... + 129297198.

Almost surely, 2^827093718000 is an apocalyptic number.

827093718000 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 827093718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578348416736).

827093718000 is an abundant number, since it is smaller than the sum of its proper divisors (2329603115472).

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

827093718000 is a wasteful number, since it uses less digits than its factorization.

827093718000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 827093718000 in words is "eight hundred twenty-seven billion, ninety-three million, seven hundred eighteen thousand".