86389243200000 has 1920 divisors, whose sum is σ = 346391204544000. Its totient is φ = 21130813440000.

The previous prime is 86389243199947. The next prime is 86389243200023. The reversal of 86389243200000 is 234298368.

86389243200000 is a `hidden beast` number, since 8 + 6 + 389 + 243 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 111758399614 + ... + 111758400386.

It is an arithmetic number, because the mean of its divisors is an integer number (180412085700).

Almost surely, 2^{86389243200000} is an apocalyptic number.

86389243200000 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 86389243200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173195602272000).

86389243200000 is an abundant number, since it is smaller than the sum of its proper divisors (260001961344000).

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

86389243200000 is an equidigital number, since it uses as much as digits as its factorization.

86389243200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 86389243200000 its reverse (234298368), we get a palindrome (86389477498368).

The spelling of 86389243200000 in words is "eighty-six trillion, three hundred eighty-nine billion, two hundred forty-three million, two hundred thousand".