86424698880 has 720 divisors, whose sum is σ = 329762893824. Its totient is φ = 20808990720.

The previous prime is 86424698863. The next prime is 86424698881. The reversal of 86424698880 is 8889642468.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (86424698881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680509377 + ... + 680509503.

Almost surely, 2^86424698880 is an apocalyptic number.

86424698880 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 86424698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164881446912).

86424698880 is an abundant number, since it is smaller than the sum of its proper divisors (243338194944).

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

86424698880 is a wasteful number, since it uses less digits than its factorization.

86424698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 86424698880 in words is "eighty-six billion, four hundred twenty-four million, six hundred ninety-eight thousand, eight hundred eighty".