86270394701088 has 1344 divisors, whose sum is σ = 295852638412800. Its totient is φ = 24515764715520.

The previous prime is 86270394701041. The next prime is 86270394701111. The reversal of 86270394701088 is 88010749307268.

86270394701088 is a `hidden beast` number, since 8 + 6 + 2 + 70 + 3 + 9 + 470 + 10 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 77791157878 + ... + 77791158986.

It is an arithmetic number, because the mean of its divisors is an integer number (220128451200).

Almost surely, 2^{86270394701088} 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 86270394701088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147926319206400).

86270394701088 is an abundant number, since it is smaller than the sum of its proper divisors (209582243711712).

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

86270394701088 is a wasteful number, since it uses less digits than its factorization.

86270394701088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 86270394701088 in words is "eighty-six trillion, two hundred seventy billion, three hundred ninety-four million, seven hundred one thousand, eighty-eight".