827188091136 has 1440 divisors, whose sum is σ = 3011076706176. Its totient is φ = 224811417600.

The previous prime is 827188091089. The next prime is 827188091159. The reversal of 827188091136 is 631190881728.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19236932331 + ... + 19236932373.

Almost surely, 2^827188091136 is an apocalyptic number.

827188091136 is a gapful number since it is divisible by the number (86) 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 827188091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505538353088).

827188091136 is an abundant number, since it is smaller than the sum of its proper divisors (2183888615040).

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

827188091136 is a wasteful number, since it uses less digits than its factorization.

827188091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 827188091136 in words is "eight hundred twenty-seven billion, one hundred eighty-eight million, ninety-one thousand, one hundred thirty-six".