86237040062304 has 288 divisors, whose sum is σ = 271849412749824. Its totient is φ = 26825234641920.

The previous prime is 86237040062291. The next prime is 86237040062323. The reversal of 86237040062304 is 40326004073268.

86237040062304 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 7 + 0 + 400 + 6 + 230 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86237040062304.

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, 1452517 + ... + 13213019.

It is an arithmetic number, because the mean of its divisors is an integer number (943921572048).

Almost surely, 2^{86237040062304} 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 86237040062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924706374912).

86237040062304 is an abundant number, since it is smaller than the sum of its proper divisors (185612372687520).

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

86237040062304 is a wasteful number, since it uses less digits than its factorization.

86237040062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760592 (or 11760572 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 86237040062304 in words is "eighty-six trillion, two hundred thirty-seven billion, forty million, sixty-two thousand, three hundred four".