827205359040 has 672 divisors, whose sum is σ = 3206285322240. Its totient is φ = 202225766400.

The previous prime is 827205359011. The next prime is 827205359047. The reversal of 827205359040 is 40953502728.

827205359040 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 0 + 53 + 590 + 4 + 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 (827205359047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45791610 + ... + 45809670.

It is an arithmetic number, because the mean of its divisors is an integer number (4771257920).

Almost surely, 2^827205359040 is an apocalyptic number.

827205359040 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 827205359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603142661120).

827205359040 is an abundant number, since it is smaller than the sum of its proper divisors (2379079963200).

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

827205359040 is a wasteful number, since it uses less digits than its factorization.

827205359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18143 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 827205359040 in words is "eight hundred twenty-seven billion, two hundred five million, three hundred fifty-nine thousand, forty".