86192649775680 has 896 divisors, whose sum is σ = 329995755454464. Its totient is φ = 18644069376000.

The previous prime is 86192649775667. The next prime is 86192649775721. The reversal of 86192649775680 is 8657794629168.

It is a junction number, because it is equal to n+sod(n) for n = 86192649775596 and 86192649775605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14206796007 + ... + 14206802073.

Almost surely, 2^{86192649775680} is an apocalyptic number.

86192649775680 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 86192649775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164997877727232).

86192649775680 is an abundant number, since it is smaller than the sum of its proper divisors (243803105678784).

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

86192649775680 is a wasteful number, since it uses less digits than its factorization.

86192649775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 78.

The spelling of 86192649775680 in words is "eighty-six trillion, one hundred ninety-two billion, six hundred forty-nine million, seven hundred seventy-five thousand, six hundred eighty".