8882377056 has 576 divisors, whose sum is σ = 32889991680. Its totient is φ = 2299207680.

The previous prime is 8882377033. The next prime is 8882377057. The reversal of 8882377056 is 6507732888.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8882376993 and 8882377011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8882377057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26834811 + ... + 26835141.

It is an arithmetic number, because the mean of its divisors is an integer number (57100680).

Almost surely, 2^8882377056 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 8882377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444995840).

8882377056 is an abundant number, since it is smaller than the sum of its proper divisors (24007614624).

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

8882377056 is a wasteful number, since it uses less digits than its factorization.

8882377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 8882377056 is about 94246.3636221579. The cubic root of 8882377056 is about 2070.9823692576.

The spelling of 8882377056 in words is "eight billion, eight hundred eighty-two million, three hundred seventy-seven thousand, fifty-six".