86669376000 has 320 divisors, whose sum is σ = 289020251520. Its totient is φ = 23042457600.

The previous prime is 86669375999. The next prime is 86669376007. The reversal of 86669376000 is 67396668.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (86669376007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112703616 + ... + 112704384.

It is an arithmetic number, because the mean of its divisors is an integer number (903188286).

Almost surely, 2^86669376000 is an apocalyptic number.

86669376000 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 86669376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144510125760).

86669376000 is an abundant number, since it is smaller than the sum of its proper divisors (202350875520).

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

86669376000 is an equidigital number, since it uses as much as digits as its factorization.

86669376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 86669376000 in words is "eighty-six billion, six hundred sixty-nine million, three hundred seventy-six thousand".