86891640000 has 280 divisors, whose sum is σ = 313405528128. Its totient is φ = 21064320000.

The previous prime is 86891639977. The next prime is 86891640037. The reversal of 86891640000 is 4619868.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1287087 + ... + 1352913.

Almost surely, 2^86891640000 is an apocalyptic number.

86891640000 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 86891640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156702764064).

86891640000 is an abundant number, since it is smaller than the sum of its proper divisors (226513888128).

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

86891640000 is a wasteful number, since it uses less digits than its factorization.

86891640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65873 (or 65848 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 86891640000 in words is "eighty-six billion, eight hundred ninety-one million, six hundred forty thousand".