86084812800 has 864 divisors, whose sum is σ = 364064198400. Its totient is φ = 19534970880.

The previous prime is 86084812787. The next prime is 86084812811. The reversal of 86084812800 is 821848068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×86084812800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619315131 + ... + 619315269.

It is an arithmetic number, because the mean of its divisors is an integer number (421370600).

Almost surely, 2^86084812800 is an apocalyptic number.

86084812800 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 86084812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182032099200).

86084812800 is an abundant number, since it is smaller than the sum of its proper divisors (277979385600).

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

86084812800 is an equidigital number, since it uses as much as digits as its factorization.

86084812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 86084812800 in words is "eighty-six billion, eighty-four million, eight hundred twelve thousand, eight hundred".