87826552043328 has 1568 divisors, whose sum is σ = 310712054906880. Its totient is φ = 24102176071680.

The previous prime is 87826552043323. The next prime is 87826552043387. The reversal of 87826552043328 is 82334025562878.

87826552043328 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 6 + 552 + 0 + 43 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87826552043323) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 367475113033 + ... + 367475113271.

Almost surely, 2^{87826552043328} 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 87826552043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155356027453440).

87826552043328 is an abundant number, since it is smaller than the sum of its proper divisors (222885502863552).

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

87826552043328 is a wasteful number, since it uses less digits than its factorization.

87826552043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 87826552043328 in words is "eighty-seven trillion, eight hundred twenty-six billion, five hundred fifty-two million, forty-three thousand, three hundred twenty-eight".