86938536672 has 288 divisors, whose sum is σ = 271282991616. Its totient is φ = 26248320000.

The previous prime is 86938536661. The next prime is 86938536701. The reversal of 86938536672 is 27663583968.

86938536672 is a `hidden beast` number, since 8 + 6 + 9 + 38 + 536 + 67 + 2 = 666.

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

It is a congruent number.

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, 66721173 + ... + 66722475.

It is an arithmetic number, because the mean of its divisors is an integer number (941954832).

Almost surely, 2^86938536672 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 86938536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135641495808).

86938536672 is an abundant number, since it is smaller than the sum of its proper divisors (184344454944).

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

86938536672 is a wasteful number, since it uses less digits than its factorization.

86938536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1643 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 86938536672 in words is "eighty-six billion, nine hundred thirty-eight million, five hundred thirty-six thousand, six hundred seventy-two".