86519704960 has 128 divisors (see below), whose sum is σ = 226072677600. Its totient is φ = 31468732416.

The previous prime is 86519704933. The next prime is 86519704961. The reversal of 86519704960 is 6940791568.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86519704961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479836 + ... + 635044.

Almost surely, 2^86519704960 is an apocalyptic number.

86519704960 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 86519704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113036338800).

86519704960 is an abundant number, since it is smaller than the sum of its proper divisors (139552972640).

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

86519704960 is a wasteful number, since it uses less digits than its factorization.

86519704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155308 (or 155296 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 86519704960 in words is "eighty-six billion, five hundred nineteen million, seven hundred four thousand, nine hundred sixty".