86399677800 has 288 divisors, whose sum is σ = 296450668800. Its totient is φ = 22542773760.

The previous prime is 86399677789. The next prime is 86399677801. The reversal of 86399677800 is 877699368.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86399677801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41879569 + ... + 41881631.

It is an arithmetic number, because the mean of its divisors is an integer number (1029342600).

Almost surely, 2^86399677800 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 86399677800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148225334400).

86399677800 is an abundant number, since it is smaller than the sum of its proper divisors (210050991000).

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

86399677800 is a wasteful number, since it uses less digits than its factorization.

86399677800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 86399677800 in words is "eighty-six billion, three hundred ninety-nine million, six hundred seventy-seven thousand, eight hundred".