86260513683456 has 3072 divisors, whose sum is σ = 328093800652800. Its totient is φ = 22135457710080.

The previous prime is 86260513683391. The next prime is 86260513683457. The reversal of 86260513683456 is 65438631506268.

86260513683456 is a `hidden beast` number, since 8 + 6 + 2 + 6 + 0 + 513 + 68 + 3 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×86260513683456⁴ (a number of 57 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 86260513683393 and 86260513683402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86260513683457) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1414106781666 + ... + 1414106781726.

It is an arithmetic number, because the mean of its divisors is an integer number (106801367400).

Almost surely, 2^{86260513683456} 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 86260513683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164046900326400).

86260513683456 is an abundant number, since it is smaller than the sum of its proper divisors (241833286969344).

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

86260513683456 is an equidigital number, since it uses as much as digits as its factorization.

86260513683456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 86260513683456 in words is "eighty-six trillion, two hundred sixty billion, five hundred thirteen million, six hundred eighty-three thousand, four hundred fifty-six".