86403513031800 has 192 divisors, whose sum is σ = 276629675520000. Its totient is φ = 22286516774400.

The previous prime is 86403513031757. The next prime is 86403513031813. The reversal of 86403513031800 is 813031530468.

It is a Cunningham number, because it is equal to 9295349²-1.

It is a super-2 number, since 2×86403513031800² (a number of 29 digits) contains 22 as substring.

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, 36019482 + ... + 38343318.

It is an arithmetic number, because the mean of its divisors is an integer number (1440779560000).

Almost surely, 2^{86403513031800} 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 86403513031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138314837760000).

86403513031800 is an abundant number, since it is smaller than the sum of its proper divisors (190226162488200).

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

86403513031800 is a wasteful number, since it uses less digits than its factorization.

86403513031800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325886 (or 2325877 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 86403513031800 in words is "eighty-six trillion, four hundred three billion, five hundred thirteen million, thirty-one thousand, eight hundred".