86541831270270 has 256 divisors, whose sum is σ = 237533032396800. Its totient is φ = 22405108239360.

The previous prime is 86541831270263. The next prime is 86541831270283. The reversal of 86541831270270 is 7207213814568.

86541831270270 is a `hidden beast` number, since 8 + 6 + 54 + 1 + 8 + 312 + 7 + 0 + 270 = 666.

It is a super-2 number, since 2×86541831270270² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16710140541 + ... + 16710145719.

It is an arithmetic number, because the mean of its divisors is an integer number (927863407800).

Almost surely, 2^{86541831270270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86541831270270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118766516198400).

86541831270270 is an abundant number, since it is smaller than the sum of its proper divisors (150991201126530).

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

86541831270270 is a wasteful number, since it uses less digits than its factorization.

86541831270270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 86541831270270 in words is "eighty-six trillion, five hundred forty-one billion, eight hundred thirty-one million, two hundred seventy thousand, two hundred seventy".