8212057056 has 288 divisors, whose sum is σ = 27740905920. Its totient is φ = 2255413248.

The previous prime is 8212057039. The next prime is 8212057097. The reversal of 8212057056 is 6507502128.

It is a happy number.

8212057056 is a `hidden beast` number, since 82 + 1 + 2 + 0 + 570 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8212057056.

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 47 ways as a sum of consecutive naturals, for example, 6638070 + ... + 6639306.

It is an arithmetic number, because the mean of its divisors is an integer number (96322590).

Almost surely, 2^8212057056 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 8212057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870452960).

8212057056 is an abundant number, since it is smaller than the sum of its proper divisors (19528848864).

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

8212057056 is a wasteful number, since it uses less digits than its factorization.

8212057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8212057056 is about 90620.4008819206. The cubic root of 8212057056 is about 2017.5175412487.

The spelling of 8212057056 in words is "eight billion, two hundred twelve million, fifty-seven thousand, fifty-six".