86562960000 has 320 divisors, whose sum is σ = 313454037600. Its totient is φ = 20984320000.

The previous prime is 86562959971. The next prime is 86562960031. The reversal of 86562960000 is 6926568.

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

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, 2623606 + ... + 2656394.

Almost surely, 2^86562960000 is an apocalyptic number.

86562960000 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 86562960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156727018800).

86562960000 is an abundant number, since it is smaller than the sum of its proper divisors (226891077600).

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

86562960000 is a wasteful number, since it uses less digits than its factorization.

86562960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32837 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 86562960000 in words is "eighty-six billion, five hundred sixty-two million, nine hundred sixty thousand".