86292142675200 has 2592 divisors, whose sum is σ = 394568945971200. Its totient is φ = 17473978368000.

The previous prime is 86292142675183. The next prime is 86292142675213. The reversal of 86292142675200 is 257624129268.

86292142675200 is a `hidden beast` number, since 8 + 6 + 2 + 9 + 2 + 1 + 426 + 7 + 5 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28026027261 + ... + 28026030339.

It is an arithmetic number, because the mean of its divisors is an integer number (152225673600).

Almost surely, 2^{86292142675200} is an apocalyptic number.

86292142675200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86292142675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197284472985600).

86292142675200 is an abundant number, since it is smaller than the sum of its proper divisors (308276803296000).

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

86292142675200 is a wasteful number, since it uses less digits than its factorization.

86292142675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86292142675200 in words is "eighty-six trillion, two hundred ninety-two billion, one hundred forty-two million, six hundred seventy-five thousand, two hundred".