86259306209280 has 896 divisors, whose sum is σ = 299887211264256. Its totient is φ = 21086443929600.

The previous prime is 86259306209261. The next prime is 86259306209311. The reversal of 86259306209280 is 8290260395268.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37816441740 + ... + 37816444020.

It is an arithmetic number, because the mean of its divisors is an integer number (334695548286).

Almost surely, 2^{86259306209280} is an apocalyptic number.

86259306209280 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 86259306209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149943605632128).

86259306209280 is an abundant number, since it is smaller than the sum of its proper divisors (213627905054976).

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

86259306209280 is a wasteful number, since it uses less digits than its factorization.

86259306209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 86259306209280 in words is "eighty-six trillion, two hundred fifty-nine billion, three hundred six million, two hundred nine thousand, two hundred eighty".