86829966252 has 72 divisors (see below), whose sum is σ = 237512411136. Its totient is φ = 27684909648.

The previous prime is 86829966247. The next prime is 86829966257. The reversal of 86829966252 is 25266992868.

It is an interprime number because it is at equal distance from previous prime (86829966247) and next prime (86829966257).

It is a self number, because there is not a number n which added to its sum of digits gives 86829966252.

It is not an unprimeable number, because it can be changed into a prime (86829966257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919628 + ... + 1964339.

It is an arithmetic number, because the mean of its divisors is an integer number (3298783488).

Almost surely, 2^86829966252 is an apocalyptic number.

It is an amenable number.

86829966252 is an abundant number, since it is smaller than the sum of its proper divisors (150682444884).

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

86829966252 is a wasteful number, since it uses less digits than its factorization.

86829966252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884009 (or 3883995 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 86829966252 in words is "eighty-six billion, eight hundred twenty-nine million, nine hundred sixty-six thousand, two hundred fifty-two".