86742804852 has 192 divisors, whose sum is σ = 250925875200. Its totient is φ = 25693200000.

The previous prime is 86742804851. The next prime is 86742804853. The reversal of 86742804852 is 25840824768.

86742804852 is a `hidden beast` number, since 86 + 7 + 4 + 2 + 80 + 485 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86742804851) and next prime (86742804853).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86742804851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9474477 + ... + 9483627.

It is an arithmetic number, because the mean of its divisors is an integer number (1306905600).

Almost surely, 2^86742804852 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 86742804852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125462937600).

86742804852 is an abundant number, since it is smaller than the sum of its proper divisors (164183070348).

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

86742804852 is a wasteful number, since it uses less digits than its factorization.

86742804852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 86742804852 in words is "eighty-six billion, seven hundred forty-two million, eight hundred four thousand, eight hundred fifty-two".