827751028480 has 144 divisors (see below), whose sum is σ = 2072596377600. Its totient is φ = 316362608640.

The previous prime is 827751028459. The next prime is 827751028513. The reversal of 827751028480 is 84820157728.

It is a super-2 number, since 2×827751028480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3002691 + ... + 3266749.

It is an arithmetic number, because the mean of its divisors is an integer number (14393030400).

Almost surely, 2^827751028480 is an apocalyptic number.

827751028480 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 827751028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036298188800).

827751028480 is an abundant number, since it is smaller than the sum of its proper divisors (1244845349120).

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

827751028480 is a wasteful number, since it uses less digits than its factorization.

827751028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264190 (or 264176 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 52.

The spelling of 827751028480 in words is "eight hundred twenty-seven billion, seven hundred fifty-one million, twenty-eight thousand, four hundred eighty".