86693379840 has 792 divisors, whose sum is σ = 330222818688. Its totient is φ = 21767823360.

The previous prime is 86693379827. The next prime is 86693379943. The reversal of 86693379840 is 4897339668.

It is a congruent number.

It is an unprimeable number.

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 87 ways as a sum of consecutive naturals, for example, 2343064302 + ... + 2343064338.

Almost surely, 2^86693379840 is an apocalyptic number.

86693379840 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 86693379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165111409344).

86693379840 is an abundant number, since it is smaller than the sum of its proper divisors (243529438848).

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

86693379840 is an frugal number, since it uses more digits than its factorization.

86693379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 86693379840 in words is "eighty-six billion, six hundred ninety-three million, three hundred seventy-nine thousand, eight hundred forty".