86926320000 has 960 divisors, whose sum is σ = 347093706960. Its totient is φ = 20736000000.

The previous prime is 86926319989. The next prime is 86926320023. The reversal of 86926320000 is 2362968.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 346319875 + ... + 346320125.

Almost surely, 2^86926320000 is an apocalyptic number.

86926320000 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 86926320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173546853480).

86926320000 is an abundant number, since it is smaller than the sum of its proper divisors (260167386960).

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

86926320000 is a wasteful number, since it uses less digits than its factorization.

86926320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 86926320000 its reverse (2362968), we get a palindrome (86928682968).

The spelling of 86926320000 in words is "eighty-six billion, nine hundred twenty-six million, three hundred twenty thousand".