86486400000 has 2112 divisors, whose sum is σ = 429842488320. Its totient is φ = 16588800000.

The previous prime is 86486399969. The next prime is 86486400041. The reversal of 86486400000 is 468468.

86486400000 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6652799994 + ... + 6652800006.

Almost surely, 2^86486400000 is an apocalyptic number.

86486400000 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 86486400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214921244160).

86486400000 is an abundant number, since it is smaller than the sum of its proper divisors (343356088320).

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

86486400000 is a wasteful number, since it uses less digits than its factorization.

86486400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 86486400000 its reverse (468468), we get a palindrome (86486868468).

The spelling of 86486400000 in words is "eighty-six billion, four hundred eighty-six million, four hundred thousand".