86133420252 has 288 divisors, whose sum is σ = 259647171840. Its totient is φ = 24483150720.

The previous prime is 86133420223. The next prime is 86133420257. The reversal of 86133420252 is 25202433168.

86133420252 is a `hidden beast` number, since 8 + 61 + 3 + 342 + 0 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86133420257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45887938 + ... + 45889814.

It is an arithmetic number, because the mean of its divisors is an integer number (901552680).

Almost surely, 2^86133420252 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 86133420252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129823585920).

86133420252 is an abundant number, since it is smaller than the sum of its proper divisors (173513751588).

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

86133420252 is a wasteful number, since it uses less digits than its factorization.

86133420252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 86133420252 in words is "eighty-six billion, one hundred thirty-three million, four hundred twenty thousand, two hundred fifty-two".