86775590880 has 288 divisors, whose sum is σ = 331774960608. Its totient is φ = 20467814400.

The previous prime is 86775590873. The next prime is 86775590911. The reversal of 86775590880 is 8809557768.

86775590880 is a `hidden beast` number, since 8 + 6 + 77 + 559 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512050 + ... + 660110.

It is an arithmetic number, because the mean of its divisors is an integer number (1151996391).

Almost surely, 2^86775590880 is an apocalyptic number.

86775590880 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 86775590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165887480304).

86775590880 is an abundant number, since it is smaller than the sum of its proper divisors (244999369728).

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

86775590880 is a wasteful number, since it uses less digits than its factorization.

86775590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148130 (or 148119 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 86775590880 in words is "eighty-six billion, seven hundred seventy-five million, five hundred ninety thousand, eight hundred eighty".