86853921570 has 768 divisors, whose sum is σ = 286878412800. Its totient is φ = 18567843840.

The previous prime is 86853921569. The next prime is 86853921593. The reversal of 86853921570 is 7512935868.

86853921570 is a `hidden beast` number, since 8 + 68 + 5 + 3 + 9 + 2 + 1 + 570 = 666.

It is a super-2 number, since 2×86853921570² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1046432749 + ... + 1046432831.

It is an arithmetic number, because the mean of its divisors is an integer number (373539600).

Almost surely, 2^86853921570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86853921570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143439206400).

86853921570 is an abundant number, since it is smaller than the sum of its proper divisors (200024491230).

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

86853921570 is a wasteful number, since it uses less digits than its factorization.

86853921570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 86853921570 in words is "eighty-six billion, eight hundred fifty-three million, nine hundred twenty-one thousand, five hundred seventy".