86256268800 has 480 divisors, whose sum is σ = 309437694720. Its totient is φ = 21054259200.

The previous prime is 86256268793. The next prime is 86256268807. The reversal of 86256268800 is 886265268.

It is an interprime number because it is at equal distance from previous prime (86256268793) and next prime (86256268807).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86256268807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65394541 + ... + 65395859.

It is an arithmetic number, because the mean of its divisors is an integer number (644661864).

Almost surely, 2^86256268800 is an apocalyptic number.

86256268800 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 86256268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154718847360).

86256268800 is an abundant number, since it is smaller than the sum of its proper divisors (223181425920).

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

86256268800 is a wasteful number, since it uses less digits than its factorization.

86256268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 86256268800 in words is "eighty-six billion, two hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".