86620110145632 has 576 divisors, whose sum is σ = 302033152512000. Its totient is φ = 23896710512640.

The previous prime is 86620110145619. The next prime is 86620110145711. The reversal of 86620110145632 is 23654101102668.

86620110145632 is a `hidden beast` number, since 8 + 6 + 6 + 2 + 0 + 1 + 1 + 0 + 1 + 4 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 757581844 + ... + 757696172.

It is an arithmetic number, because the mean of its divisors is an integer number (524363112000).

Almost surely, 2^{86620110145632} 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 86620110145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151016576256000).

86620110145632 is an abundant number, since it is smaller than the sum of its proper divisors (215413042366368).

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

86620110145632 is a wasteful number, since it uses less digits than its factorization.

86620110145632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114841 (or 114821 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86620110145632 in words is "eighty-six trillion, six hundred twenty billion, one hundred ten million, one hundred forty-five thousand, six hundred thirty-two".