86256224025510 has 256 divisors, whose sum is σ = 260128875257856. Its totient is φ = 17782302720000.

The previous prime is 86256224025373. The next prime is 86256224025529. The reversal of 86256224025510 is 1552042265268.

It is a self number, because there is not a number n which added to its sum of digits gives 86256224025510.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1355963605 + ... + 1356027215.

It is an arithmetic number, because the mean of its divisors is an integer number (1016128418976).

Almost surely, 2^{86256224025510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86256224025510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130064437628928).

86256224025510 is an abundant number, since it is smaller than the sum of its proper divisors (173872651232346).

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

86256224025510 is a wasteful number, since it uses less digits than its factorization.

86256224025510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68251.

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 86256224025510 in words is "eighty-six trillion, two hundred fifty-six billion, two hundred twenty-four million, twenty-five thousand, five hundred ten".