86538800880 has 480 divisors, whose sum is σ = 349874463744. Its totient is φ = 18740772864.

The previous prime is 86538800863. The next prime is 86538800891. The reversal of 86538800880 is 8800883568.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12399952 + ... + 12406928.

Almost surely, 2^86538800880 is an apocalyptic number.

86538800880 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 86538800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174937231872).

86538800880 is an abundant number, since it is smaller than the sum of its proper divisors (263335662864).

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

86538800880 is a wasteful number, since it uses less digits than its factorization.

86538800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 86538800880 in words is "eighty-six billion, five hundred thirty-eight million, eight hundred thousand, eight hundred eighty".