86857774080 has 1408 divisors, whose sum is σ = 376699355136. Its totient is φ = 16544563200.

The previous prime is 86857774063. The next prime is 86857774121. The reversal of 86857774080 is 8047775868.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 843279309 + ... + 843279411.

Almost surely, 2^86857774080 is an apocalyptic number.

86857774080 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 86857774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188349677568).

86857774080 is an abundant number, since it is smaller than the sum of its proper divisors (289841581056).

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

86857774080 is a wasteful number, since it uses less digits than its factorization.

86857774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 60.

The spelling of 86857774080 in words is "eighty-six billion, eight hundred fifty-seven million, seven hundred seventy-four thousand, eighty".