827716035360 has 96 divisors (see below), whose sum is σ = 2607641225280. Its totient is φ = 220695856128.

The previous prime is 827716035343. The next prime is 827716035361. The reversal of 827716035360 is 63530617728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×827716035360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (827716035361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761334 + ... + 3975306.

It is an arithmetic number, because the mean of its divisors is an integer number (27162929430).

Almost surely, 2^827716035360 is an apocalyptic number.

827716035360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827716035360 is an abundant number, since it is smaller than the sum of its proper divisors (1779925189920).

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

827716035360 is a wasteful number, since it uses less digits than its factorization.

827716035360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222050 (or 222042 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 827716035360 in words is "eight hundred twenty-seven billion, seven hundred sixteen million, thirty-five thousand, three hundred sixty".