87661895328 has 288 divisors, whose sum is σ = 304684571520. Its totient is φ = 24434887680.

The previous prime is 87661895317. The next prime is 87661895341. The reversal of 87661895328 is 82359816678.

87661895328 is a `hidden beast` number, since 8 + 7 + 6 + 618 + 9 + 5 + 3 + 2 + 8 = 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710525 + ... + 1761027.

It is an arithmetic number, because the mean of its divisors is an integer number (1057932540).

Almost surely, 2^87661895328 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 87661895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152342285760).

87661895328 is an abundant number, since it is smaller than the sum of its proper divisors (217022676192).

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

87661895328 is a wasteful number, since it uses less digits than its factorization.

87661895328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50577 (or 50556 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 87661895328 in words is "eighty-seven billion, six hundred sixty-one million, eight hundred ninety-five thousand, three hundred twenty-eight".