86124504870144 has 360 divisors, whose sum is σ = 291118046505440. Its totient is φ = 25105117335552.

The previous prime is 86124504870139. The next prime is 86124504870211. The reversal of 86124504870144 is 44107840542168.

86124504870144 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 450 + 48 + 7 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3285862 + ... + 13529445.

Almost surely, 2^{86124504870144} 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 86124504870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145559023252720).

86124504870144 is an abundant number, since it is smaller than the sum of its proper divisors (204993541635296).

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

86124504870144 is a wasteful number, since it uses less digits than its factorization.

86124504870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815367 (or 16815344 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 86124504870144 in words is "eighty-six trillion, one hundred twenty-four billion, five hundred four million, eight hundred seventy thousand, one hundred forty-four".