86259280536000 has 4032 divisors, whose sum is σ = 384220360742400. Its totient is φ = 18918282240000.

The previous prime is 86259280535959. The next prime is 86259280536047. The reversal of 86259280536000 is 63508295268.

86259280536000 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 9 + 28 + 0 + 5 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 260602055835 + ... + 260602056165.

It is an arithmetic number, because the mean of its divisors is an integer number (95292748200).

Almost surely, 2^{86259280536000} is an apocalyptic number.

86259280536000 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 86259280536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192110180371200).

86259280536000 is an abundant number, since it is smaller than the sum of its proper divisors (297961080206400).

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

86259280536000 is a wasteful number, since it uses less digits than its factorization.

86259280536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86259280536000 in words is "eighty-six trillion, two hundred fifty-nine billion, two hundred eighty million, five hundred thirty-six thousand".