86225589755424 has 432 divisors, whose sum is σ = 308758980448800. Its totient is φ = 23339253240576.

The previous prime is 86225589755423. The next prime is 86225589755429. The reversal of 86225589755424 is 42455798552268.

86225589755424 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 5 + 5 + 8 + 9 + 75 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (86225589755423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12462387 + ... + 18104205.

It is an arithmetic number, because the mean of its divisors is an integer number (714719862150).

Almost surely, 2^{86225589755424} is an apocalyptic number.

86225589755424 is a gapful number since it is divisible by the number (84) 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 86225589755424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154379490224400).

86225589755424 is an abundant number, since it is smaller than the sum of its proper divisors (222533390693376).

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

86225589755424 is a wasteful number, since it uses less digits than its factorization.

86225589755424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641890 (or 5641850 counting only the distinct ones).

The product of its digits is 1935360000, while the sum is 72.

The spelling of 86225589755424 in words is "eighty-six trillion, two hundred twenty-five billion, five hundred eighty-nine million, seven hundred fifty-five thousand, four hundred twenty-four".