86092296192 has 624 divisors, whose sum is σ = 298329587712. Its totient is φ = 23410114560.

The previous prime is 86092296149. The next prime is 86092296197. The reversal of 86092296192 is 29169229068.

It is a happy number.

86092296192 is a `hidden beast` number, since 8 + 609 + 2 + 29 + 6 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×86092296192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86092296197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677892033 + ... + 677892159.

It is an arithmetic number, because the mean of its divisors is an integer number (478092288).

Almost surely, 2^86092296192 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 86092296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149164793856).

86092296192 is an abundant number, since it is smaller than the sum of its proper divisors (212237291520).

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

86092296192 is a wasteful number, since it uses less digits than its factorization.

86092296192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 86092296192 in words is "eighty-six billion, ninety-two million, two hundred ninety-six thousand, one hundred ninety-two".