86837956837632 has 6912 divisors, whose sum is σ = 400744350720000. Its totient is φ = 18259889356800.

The previous prime is 86837956837601. The next prime is 86837956837633. The reversal of 86837956837632 is 23673865973868.

86837956837632 is a `hidden beast` number, since 8 + 68 + 379 + 56 + 83 + 7 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×86837956837632² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

Its product of digits (13168189440) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86837956837633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1423573062882 + ... + 1423573062942.

It is an arithmetic number, because the mean of its divisors is an integer number (57978060000).

Almost surely, 2^{86837956837632} 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 86837956837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200372175360000).

86837956837632 is an abundant number, since it is smaller than the sum of its proper divisors (313906393882368).

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

86837956837632 is a wasteful number, since it uses less digits than its factorization.

86837956837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 133 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 81.

The spelling of 86837956837632 in words is "eighty-six trillion, eight hundred thirty-seven billion, nine hundred fifty-six million, eight hundred thirty-seven thousand, six hundred thirty-two".