8257821439560 has 1024 divisors, whose sum is σ = 32536157552640. Its totient is φ = 1626753024000.

The previous prime is 8257821439523. The next prime is 8257821439561. The reversal of 8257821439560 is 659341287528.

It is a super-2 number, since 2×8257821439560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8257821439494 and 8257821439503.

It is not an unprimeable number, because it can be changed into a prime (8257821439561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5119541314 + ... + 5119542926.

It is an arithmetic number, because the mean of its divisors is an integer number (31773591360).

It is a 1-persistent number, because it is pandigital, but 2⋅8257821439560 = 16515642879120 is not.

Almost surely, 2^{8257821439560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8257821439560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268078776320).

8257821439560 is an abundant number, since it is smaller than the sum of its proper divisors (24278336113080).

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

8257821439560 is a wasteful number, since it uses less digits than its factorization.

8257821439560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 8257821439560 in words is "eight trillion, two hundred fifty-seven billion, eight hundred twenty-one million, four hundred thirty-nine thousand, five hundred sixty".