86428793880 has 512 divisors, whose sum is σ = 344881152000. Its totient is φ = 18973992960.

The previous prime is 86428793863. The next prime is 86428793897. The reversal of 86428793880 is 8839782468.

It is an interprime number because it is at equal distance from previous prime (86428793863) and next prime (86428793897).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8180041 + ... + 8190599.

It is an arithmetic number, because the mean of its divisors is an integer number (673596000).

Almost surely, 2^86428793880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86428793880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172440576000).

86428793880 is an abundant number, since it is smaller than the sum of its proper divisors (258452358120).

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

86428793880 is a wasteful number, since it uses less digits than its factorization.

86428793880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 86428793880 in words is "eighty-six billion, four hundred twenty-eight million, seven hundred ninety-three thousand, eight hundred eighty".