827921698560 has 864 divisors, whose sum is σ = 3370035352320. Its totient is φ = 185484902400.

The previous prime is 827921698553. The next prime is 827921698567. The reversal of 827921698560 is 65896129728.

827921698560 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 2 + 1 + 69 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (827921698553) and next prime (827921698567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827921698567) 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 95 ways as a sum of consecutive naturals, for example, 98710687 + ... + 98719073.

It is an arithmetic number, because the mean of its divisors is an integer number (3900503880).

Almost surely, 2^827921698560 is an apocalyptic number.

827921698560 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 827921698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685017676160).

827921698560 is an abundant number, since it is smaller than the sum of its proper divisors (2542113653760).

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

827921698560 is a wasteful number, since it uses less digits than its factorization.

827921698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 827921698560 in words is "eight hundred twenty-seven billion, nine hundred twenty-one million, six hundred ninety-eight thousand, five hundred sixty".