87020656128 has 480 divisors, whose sum is σ = 299970967296. Its totient is φ = 24670199808.

The previous prime is 87020656123. The next prime is 87020656211. The reversal of 87020656128 is 82165602078.

87020656128 is a `hidden beast` number, since 8 + 7 + 0 + 20 + 6 + 5 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87020656123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141958350 + ... + 141958962.

Almost surely, 2^87020656128 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 87020656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149985483648).

87020656128 is an abundant number, since it is smaller than the sum of its proper divisors (212950311168).

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

87020656128 is an equidigital number, since it uses as much as digits as its factorization.

87020656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87020656128 in words is "eighty-seven billion, twenty million, six hundred fifty-six thousand, one hundred twenty-eight".