8251061656320 has 1296 divisors, whose sum is σ = 34256794161408. Its totient is φ = 1862686679040.

The previous prime is 8251061656303. The next prime is 8251061656399. The reversal of 8251061656320 is 236561601528.

8251061656320 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 0 + 6 + 1 + 6 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 24927678555 + ... + 24927678885.

Almost surely, 2^{8251061656320} is an apocalyptic number.

8251061656320 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 8251061656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128397080704).

8251061656320 is an abundant number, since it is smaller than the sum of its proper divisors (26005732505088).

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

8251061656320 is an equidigital number, since it uses as much as digits as its factorization.

8251061656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 8251061656320 in words is "eight trillion, two hundred fifty-one billion, sixty-one million, six hundred fifty-six thousand, three hundred twenty".