827149799520 has 1152 divisors, whose sum is σ = 3498623331840. Its totient is φ = 182171566080.

The previous prime is 827149799501. The next prime is 827149799527. The reversal of 827149799520 is 25997941728.

827149799520 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 497 + 99 + 52 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827149799527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210844279 + ... + 210848201.

It is an arithmetic number, because the mean of its divisors is an integer number (3036999420).

Almost surely, 2^827149799520 is an apocalyptic number.

827149799520 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 827149799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749311665920).

827149799520 is an abundant number, since it is smaller than the sum of its proper divisors (2671473532320).

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

827149799520 is a wasteful number, since it uses less digits than its factorization.

827149799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 827149799520 in words is "eight hundred twenty-seven billion, one hundred forty-nine million, seven hundred ninety-nine thousand, five hundred twenty".