86571537696 has 384 divisors, whose sum is σ = 297025989120. Its totient is φ = 24320839680.

The previous prime is 86571537691. The next prime is 86571537791. The reversal of 86571537696 is 69673517568.

86571537696 is a `hidden beast` number, since 8 + 6 + 5 + 7 + 1 + 537 + 6 + 96 = 666.

It is a super-2 number, since 2×86571537696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86571537691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29881720 + ... + 29884616.

It is an arithmetic number, because the mean of its divisors is an integer number (773505180).

Almost surely, 2^86571537696 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 86571537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512994560).

86571537696 is an abundant number, since it is smaller than the sum of its proper divisors (210454451424).

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

86571537696 is an equidigital number, since it uses as much as digits as its factorization.

86571537696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2970 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 86571537696 in words is "eighty-six billion, five hundred seventy-one million, five hundred thirty-seven thousand, six hundred ninety-six".