86725289226240 has 3120 divisors, whose sum is σ = 377639361183744. Its totient is φ = 18962192793600.

The previous prime is 86725289226223. The next prime is 86725289226269. The reversal of 86725289226240 is 4262298252768.

It is a happy number.

86725289226240 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 528 + 9 + 2 + 2 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 320019517305 + ... + 320019517575.

Almost surely, 2^{86725289226240} is an apocalyptic number.

86725289226240 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 86725289226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188819680591872).

86725289226240 is an abundant number, since it is smaller than the sum of its proper divisors (290914071957504).

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

86725289226240 is a wasteful number, since it uses less digits than its factorization.

86725289226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 86725289226240 in words is "eighty-six trillion, seven hundred twenty-five billion, two hundred eighty-nine million, two hundred twenty-six thousand, two hundred forty".