86573514310140 has 432 divisors, whose sum is σ = 289507752634464. Its totient is φ = 19201383505920.

The previous prime is 86573514310139. The next prime is 86573514310141. The reversal of 86573514310140 is 4101341537568.

It is an interprime number because it is at equal distance from previous prime (86573514310139) and next prime (86573514310141).

It is a self number, because there is not a number n which added to its sum of digits gives 86573514310140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86573514310141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1205102302 + ... + 1205174138.

It is an arithmetic number, because the mean of its divisors is an integer number (670156834802).

Almost surely, 2^{86573514310140} 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 86573514310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144753876317232).

86573514310140 is an abundant number, since it is smaller than the sum of its proper divisors (202934238324324).

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

86573514310140 is a wasteful number, since it uses less digits than its factorization.

86573514310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72110 (or 71984 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 86573514310140 in words is "eighty-six trillion, five hundred seventy-three billion, five hundred fourteen million, three hundred ten thousand, one hundred forty".